455953872 has 160 divisors (see below), whose sum is σ = 1379911680. Its totient is φ = 128194560.

The previous prime is 455953843. The next prime is 455953877. The reversal of 455953872 is 278359554.

It is a super-4 number, since 4×455953872⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455953877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708783 + ... + 709425.

It is an arithmetic number, because the mean of its divisors is an integer number (8624448).

Almost surely, 2^455953872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455953872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689955840).

455953872 is an abundant number, since it is smaller than the sum of its proper divisors (923957808).

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

455953872 is a wasteful number, since it uses less digits than its factorization.

455953872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 755 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 48.

The square root of 455953872 is about 21353.0764059889. The cubic root of 455953872 is about 769.6742716287.

The spelling of 455953872 in words is "four hundred fifty-five million, nine hundred fifty-three thousand, eight hundred seventy-two".