456255800 has 384 divisors, whose sum is σ = 1484904960. Its totient is φ = 125798400.

The previous prime is 456255733. The next prime is 456255859. The reversal of 456255800 is 8552654.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8608574 + ... + 8608626.

It is an arithmetic number, because the mean of its divisors is an integer number (3866940).

Almost surely, 2^456255800 is an apocalyptic number.

456255800 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 456255800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742452480).

456255800 is an abundant number, since it is smaller than the sum of its proper divisors (1028649160).

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

456255800 is a wasteful number, since it uses less digits than its factorization.

456255800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The square root of 456255800 is about 21360.1451305931. The cubic root of 456255800 is about 769.8441242914.

The spelling of 456255800 in words is "four hundred fifty-six million, two hundred fifty-five thousand, eight hundred".