468414400 has 42 divisors (see below), whose sum is σ = 1152596120. Its totient is φ = 187365120.

The previous prime is 468414383. The next prime is 468414407. The reversal of 468414400 is 4414864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468414407) 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, 144780 + ... + 147979.

Almost surely, 2^468414400 is an apocalyptic number.

468414400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468414400 is an abundant number, since it is smaller than the sum of its proper divisors (684181720).

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

468414400 is a wasteful number, since it uses less digits than its factorization.

468414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292781 (or 292766 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 468414400 is about 21642.8833568912. The cubic root of 468414400 is about 776.6226978328.

The spelling of 468414400 in words is "four hundred sixty-eight million, four hundred fourteen thousand, four hundred".