468625500 has 576 divisors, whose sum is σ = 1907942400. Its totient is φ = 97977600.

The previous prime is 468625477. The next prime is 468625501. The reversal of 468625500 is 5526864.

468625500 is a `hidden beast` number, since 46 + 8 + 62 + 550 + 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 not an unprimeable number, because it can be changed into a prime (468625501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16159486 + ... + 16159514.

It is an arithmetic number, because the mean of its divisors is an integer number (3312400).

Almost surely, 2^468625500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468625500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953971200).

468625500 is an abundant number, since it is smaller than the sum of its proper divisors (1439316900).

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

468625500 is a wasteful number, since it uses less digits than its factorization.

468625500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 468625500 is about 21647.7596993315. The cubic root of 468625500 is about 776.7393469860.

The spelling of 468625500 in words is "four hundred sixty-eight million, six hundred twenty-five thousand, five hundred".