478074960 has 400 divisors, whose sum is σ = 1912109760. Its totient is φ = 109486080.

The previous prime is 478074959. The next prime is 478074977. The reversal of 478074960 is 69470874.

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 79 ways as a sum of consecutive naturals, for example, 1354144 + ... + 1354496.

Almost surely, 2^478074960 is an apocalyptic number.

478074960 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 478074960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956054880).

478074960 is an abundant number, since it is smaller than the sum of its proper divisors (1434034800).

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

478074960 is a wasteful number, since it uses less digits than its factorization.

478074960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 478074960 is about 21864.9253371696. The cubic root of 478074960 is about 781.9254207258.

The spelling of 478074960 in words is "four hundred seventy-eight million, seventy-four thousand, nine hundred sixty".