478933920 has 288 divisors, whose sum is σ = 1714199760. Its totient is φ = 121651200.

The previous prime is 478933913. The next prime is 478933937. The reversal of 478933920 is 29339874.

It is a happy number.

478933920 is a `hidden beast` number, since 478 + 93 + 3 + 92 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 368179344 + 110754576 = 19188^2 + 10524^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4741870 + ... + 4741970.

Almost surely, 2^478933920 is an apocalyptic number.

478933920 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 478933920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857099880).

478933920 is an abundant number, since it is smaller than the sum of its proper divisors (1235265840).

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

478933920 is a wasteful number, since it uses less digits than its factorization.

478933920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 478933920 is about 21884.5589400381. The cubic root of 478933920 is about 782.3934371587.

The spelling of 478933920 in words is "four hundred seventy-eight million, nine hundred thirty-three thousand, nine hundred twenty".