468080400 has 60 divisors (see below), whose sum is σ = 1499421392. Its totient is φ = 124821120.

The previous prime is 468080369. The next prime is 468080401. The reversal of 468080400 is 4080864.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-4 number, since 4×468080400⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (468080401) 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, 193834 + ... + 196233.

Almost surely, 2^468080400 is an apocalyptic number.

468080400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468080400 is an abundant number, since it is smaller than the sum of its proper divisors (1031340992).

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

468080400 is a wasteful number, since it uses less digits than its factorization.

468080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390088 (or 390077 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 468080400 is about 21635.1658186389. The cubic root of 468080400 is about 776.4380652666.

The spelling of 468080400 in words is "four hundred sixty-eight million, eighty thousand, four hundred".