468723600 has 90 divisors (see below), whose sum is σ = 1626613586. Its totient is φ = 124992000.

The previous prime is 468723571. The next prime is 468723617. The reversal of 468723600 is 6327864.

468723600 is a `hidden beast` number, since 46 + 8 + 7 + 2 + 3 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8363664 + 460359936 = 2892^2 + 21456^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 61501 + ... + 68700.

Almost surely, 2^468723600 is an apocalyptic number.

468723600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468723600 is an abundant number, since it is smaller than the sum of its proper divisors (1157889986).

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

468723600 is a wasteful number, since it uses less digits than its factorization.

468723600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130225 (or 130211 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 468723600 is about 21650.0254041421. The cubic root of 468723600 is about 776.7935429368.

The spelling of 468723600 in words is "four hundred sixty-eight million, seven hundred twenty-three thousand, six hundred".