478525320 has 384 divisors, whose sum is σ = 1988663040. Its totient is φ = 100776960.

The previous prime is 478525319. The next prime is 478525337. The reversal of 478525320 is 23525874.

478525320 is a `hidden beast` number, since 4 + 78 + 52 + 532 + 0 = 666.

It is a super-2 number, since 2×478525320² = 457972963762204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 884250 + ... + 884790.

It is an arithmetic number, because the mean of its divisors is an integer number (5178810).

Almost surely, 2^478525320 is an apocalyptic number.

478525320 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 478525320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994331520).

478525320 is an abundant number, since it is smaller than the sum of its proper divisors (1510137720).

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

478525320 is a wasteful number, since it uses less digits than its factorization.

478525320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 478525320 is about 21875.2215988776. The cubic root of 478525320 is about 782.1708755478.

The spelling of 478525320 in words is "four hundred seventy-eight million, five hundred twenty-five thousand, three hundred twenty".