461396400 has 60 divisors (see below), whose sum is σ = 1478010312. Its totient is φ = 123038720.

The previous prime is 461396387. The next prime is 461396447. The reversal of 461396400 is 4693164.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191049 + ... + 193448.

Almost surely, 2^461396400 is an apocalyptic number.

461396400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461396400 is an abundant number, since it is smaller than the sum of its proper divisors (1016613912).

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

461396400 is a wasteful number, since it uses less digits than its factorization.

461396400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384518 (or 384507 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 461396400 is about 21480.1396643504. The cubic root of 461396400 is about 772.7245919588.

The spelling of 461396400 in words is "four hundred sixty-one million, three hundred ninety-six thousand, four hundred".