478151520 has 384 divisors, whose sum is σ = 1990904832. Its totient is φ = 93388800.

The previous prime is 478151519. The next prime is 478151551. The reversal of 478151520 is 25151874.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627940 + ... + 628700.

It is an arithmetic number, because the mean of its divisors is an integer number (5184648).

Almost surely, 2^478151520 is an apocalyptic number.

478151520 is a gapful number since it is divisible by the number (40) 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 478151520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995452416).

478151520 is an abundant number, since it is smaller than the sum of its proper divisors (1512753312).

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

478151520 is a wasteful number, since it uses less digits than its factorization.

478151520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 478151520 is about 21866.6760162582. The cubic root of 478151520 is about 781.9671582634.

The spelling of 478151520 in words is "four hundred seventy-eight million, one hundred fifty-one thousand, five hundred twenty".