478141272 has 192 divisors, whose sum is σ = 1582540800. Its totient is φ = 130896000.

The previous prime is 478141243. The next prime is 478141283. The reversal of 478141272 is 272141874.

It is a super-4 number, since 4×478141272⁴ (a number of 36 digits) contains 4444 as substring.

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.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4734022 + ... + 4734122.

It is an arithmetic number, because the mean of its divisors is an integer number (8242400).

Almost surely, 2^478141272 is an apocalyptic number.

478141272 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 478141272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791270400).

478141272 is an abundant number, since it is smaller than the sum of its proper divisors (1104399528).

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

478141272 is a wasteful number, since it uses less digits than its factorization.

478141272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 144 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 478141272 is about 21866.4416858345. The cubic root of 478141272 is about 781.9615717103.

The spelling of 478141272 in words is "four hundred seventy-eight million, one hundred forty-one thousand, two hundred seventy-two".