470764800 has 324 divisors, whose sum is σ = 1838569824. Its totient is φ = 113971200.

The previous prime is 470764781. The next prime is 470764823. The reversal of 470764800 is 8467074.

It is a happy number.

470764800 is a `hidden beast` number, since 4 + 7 + 0 + 7 + 648 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 633229 + ... + 633971.

Almost surely, 2^470764800 is an apocalyptic number.

470764800 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 470764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919284912).

470764800 is an abundant number, since it is smaller than the sum of its proper divisors (1367805024).

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

470764800 is a wasteful number, since it uses less digits than its factorization.

470764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 470764800 is about 21697.1150155960. The cubic root of 470764800 is about 777.9195049362.

The spelling of 470764800 in words is "four hundred seventy million, seven hundred sixty-four thousand, eight hundred".