456946800 has 120 divisors (see below), whose sum is σ = 1472082864. Its totient is φ = 121159680.

The previous prime is 456946753. The next prime is 456946811. The reversal of 456946800 is 8649654.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230614 + ... + 232586.

Almost surely, 2^456946800 is an apocalyptic number.

456946800 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 456946800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736041432).

456946800 is an abundant number, since it is smaller than the sum of its proper divisors (1015136064).

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

456946800 is a wasteful number, since it uses less digits than its factorization.

456946800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 456946800 is about 21376.3139946998. The cubic root of 456946800 is about 770.2325715638.

The spelling of 456946800 in words is "four hundred fifty-six million, nine hundred forty-six thousand, eight hundred".