478468032 has 224 divisors, whose sum is σ = 1563502080. Its totient is φ = 126074880.

The previous prime is 478468027. The next prime is 478468049. The reversal of 478468032 is 230864874.

It is a tau number, because it is divible by the number of its divisors (224).

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, 1046748 + ... + 1047204.

It is an arithmetic number, because the mean of its divisors is an integer number (6979920).

Almost surely, 2^478468032 is an apocalyptic number.

478468032 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 478468032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781751040).

478468032 is an abundant number, since it is smaller than the sum of its proper divisors (1085034048).

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

478468032 is a wasteful number, since it uses less digits than its factorization.

478468032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 478468032 is about 21873.9121329496. The cubic root of 478468032 is about 782.1396610425.

The spelling of 478468032 in words is "four hundred seventy-eight million, four hundred sixty-eight thousand, thirty-two".