468084400 has 60 divisors (see below), whose sum is σ = 1285233712. Its totient is φ = 160485120.

The previous prime is 468084371. The next prime is 468084403. The reversal of 468084400 is 4480864.

It is not an unprimeable number, because it can be changed into a prime (468084403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80787 + ... + 86386.

Almost surely, 2^468084400 is an apocalyptic number.

468084400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468084400 is an abundant number, since it is smaller than the sum of its proper divisors (817149312).

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

468084400 is a wasteful number, since it uses less digits than its factorization.

468084400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167198 (or 167187 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 468084400 is about 21635.2582605339. The cubic root of 468084400 is about 776.4402769546.

The spelling of 468084400 in words is "four hundred sixty-eight million, eighty-four thousand, four hundred".