455290800 has 120 divisors (see below), whose sum is σ = 1505617920. Its totient is φ = 117484800.

The previous prime is 455290789. The next prime is 455290811. The reversal of 455290800 is 8092554.

It is an interprime number because it is at equal distance from previous prime (455290789) and next prime (455290811).

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 23 ways as a sum of consecutive naturals, for example, 31081 + ... + 43319.

It is an arithmetic number, because the mean of its divisors is an integer number (12546816).

Almost surely, 2^455290800 is an apocalyptic number.

455290800 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 455290800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752808960).

455290800 is an abundant number, since it is smaller than the sum of its proper divisors (1050327120).

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

455290800 is a wasteful number, since it uses less digits than its factorization.

455290800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12291 (or 12280 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 455290800 is about 21337.5443760523. The cubic root of 455290800 is about 769.3009904100.

The spelling of 455290800 in words is "four hundred fifty-five million, two hundred ninety thousand, eight hundred".