482362272 has 288 divisors, whose sum is σ = 1690416000. Its totient is φ = 130056192.

The previous prime is 482362259. The next prime is 482362273. The reversal of 482362272 is 272263284.

It is a happy number.

482362272 is a `hidden beast` number, since 4 + 8 + 23 + 622 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×482362272² = 465346722898003968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (64512) is a multiple of the sum of its prime divisors (288).

It is not an unprimeable number, because it can be changed into a prime (482362273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1876768 + ... + 1877024.

It is an arithmetic number, because the mean of its divisors is an integer number (5869500).

Almost surely, 2^482362272 is an apocalyptic number.

482362272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482362272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845208000).

482362272 is an abundant number, since it is smaller than the sum of its proper divisors (1208053728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

482362272 is a wasteful number, since it uses less digits than its factorization.

482362272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 288 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 482362272 is about 21962.7473691248. The cubic root of 482362272 is about 784.2558688656.

The spelling of 482362272 in words is "four hundred eighty-two million, three hundred sixty-two thousand, two hundred seventy-two".