478182432 has 192 divisors, whose sum is σ = 1560674304. Its totient is φ = 124830720.

The previous prime is 478182427. The next prime is 478182437. The reversal of 478182432 is 234281874.

It is an interprime number because it is at equal distance from previous prime (478182427) and next prime (478182437).

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is not an unprimeable number, because it can be changed into a prime (478182437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1109257 + ... + 1109687.

It is an arithmetic number, because the mean of its divisors is an integer number (8128512).

Almost surely, 2^478182432 is an apocalyptic number.

478182432 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 478182432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780337152).

478182432 is an abundant number, since it is smaller than the sum of its proper divisors (1082491872).

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

478182432 is a wasteful number, since it uses less digits than its factorization.

478182432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 583 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 478182432 is about 21867.3828338007. The cubic root of 478182432 is about 781.9840090223.

The spelling of 478182432 in words is "four hundred seventy-eight million, one hundred eighty-two thousand, four hundred thirty-two".