468626400 has 432 divisors, whose sum is σ = 1851162768. Its totient is φ = 110592000.

The previous prime is 468626377. The next prime is 468626401. The reversal of 468626400 is 4626864.

It is a happy number.

468626400 is a `hidden beast` number, since 4 + 6 + 8 + 6 + 2 + 640 + 0 = 666.

It is a super-2 number, since 2×468626400² = 439221405553920000, which contains 22 as substring.

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 (468626401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4831152 + ... + 4831248.

It is an arithmetic number, because the mean of its divisors is an integer number (4285099).

Almost surely, 2^468626400 is an apocalyptic number.

468626400 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 468626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925581384).

468626400 is an abundant number, since it is smaller than the sum of its proper divisors (1382536368).

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

468626400 is a wasteful number, since it uses less digits than its factorization.

468626400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 468626400 is about 21647.7804866919. The cubic root of 468626400 is about 776.7398442310.

The spelling of 468626400 in words is "four hundred sixty-eight million, six hundred twenty-six thousand, four hundred".