480849432 has 128 divisors (see below), whose sum is σ = 1431306240. Its totient is φ = 131725440.

The previous prime is 480849371. The next prime is 480849451. The reversal of 480849432 is 234948084.

It is a super-3 number, since 3×480849432³ (a number of 27 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661053 + ... + 661779.

It is an arithmetic number, because the mean of its divisors is an integer number (11182080).

Almost surely, 2^480849432 is an apocalyptic number.

480849432 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 480849432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715653120).

480849432 is an abundant number, since it is smaller than the sum of its proper divisors (950456808).

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

480849432 is a wasteful number, since it uses less digits than its factorization.

480849432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 480849432 is about 21928.2792758575. The cubic root of 480849432 is about 783.4351190907.

The spelling of 480849432 in words is "four hundred eighty million, eight hundred forty-nine thousand, four hundred thirty-two".