478625760 has 120 divisors (see below), whose sum is σ = 1689195816. Its totient is φ = 127630080.

The previous prime is 478625743. The next prime is 478625783. The reversal of 478625760 is 67526874.

478625760 is a `hidden beast` number, since 4 + 78 + 6 + 2 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5506 + ... + 31425.

Almost surely, 2^478625760 is an apocalyptic number.

478625760 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 478625760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844597908).

478625760 is an abundant number, since it is smaller than the sum of its proper divisors (1210570056).

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

478625760 is a wasteful number, since it uses less digits than its factorization.

478625760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36958 (or 36941 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 478625760 is about 21877.5172265959. The cubic root of 478625760 is about 782.2255962655.

The spelling of 478625760 in words is "four hundred seventy-eight million, six hundred twenty-five thousand, seven hundred sixty".