468704800 has 36 divisors (see below), whose sum is σ = 1144227546. Its totient is φ = 187481600.

The previous prime is 468704771. The next prime is 468704801. The reversal of 468704800 is 8407864.

It can be written as a sum of positive squares in 3 ways, for example, as 437479056 + 31225744 = 20916^2 + 5588^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 468704800.

It is not an unprimeable number, because it can be changed into a prime (468704801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 292141 + ... + 293740.

Almost surely, 2^468704800 is an apocalyptic number.

468704800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468704800 is an abundant number, since it is smaller than the sum of its proper divisors (675522746).

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

468704800 is a wasteful number, since it uses less digits than its factorization.

468704800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585901 (or 585888 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 468704800 is about 21649.5912201593. The cubic root of 468704800 is about 776.7831573465.

The spelling of 468704800 in words is "four hundred sixty-eight million, seven hundred four thousand, eight hundred".