456460800 has 120 divisors (see below), whose sum is σ = 1508016576. Its totient is φ = 121712640.

The previous prime is 456460793. The next prime is 456460817. The reversal of 456460800 is 8064654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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, 32457 + ... + 44343.

Almost surely, 2^456460800 is an apocalyptic number.

456460800 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 456460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754008288).

456460800 is an abundant number, since it is smaller than the sum of its proper divisors (1051555776).

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

456460800 is a wasteful number, since it uses less digits than its factorization.

456460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11918 (or 11897 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 456460800 is about 21364.9432482279. The cubic root of 456460800 is about 769.9594064168.

The spelling of 456460800 in words is "four hundred fifty-six million, four hundred sixty thousand, eight hundred".