456869600 has 144 divisors (see below), whose sum is σ = 1227577680. Its totient is φ = 164659200.

The previous prime is 456869597. The next prime is 456869617. The reversal of 456869600 is 6968654.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 1698266 + ... + 1698534.

It is an arithmetic number, because the mean of its divisors is an integer number (8524845).

Almost surely, 2^456869600 is an apocalyptic number.

456869600 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 456869600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613788840).

456869600 is an abundant number, since it is smaller than the sum of its proper divisors (770708080).

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

456869600 is a wasteful number, since it uses less digits than its factorization.

456869600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 456869600 is about 21374.5081814764. The cubic root of 456869600 is about 770.1891928427.

The spelling of 456869600 in words is "four hundred fifty-six million, eight hundred sixty-nine thousand, six hundred".