455906880 has 672 divisors, whose sum is σ = 1957108608. Its totient is φ = 99532800.

The previous prime is 455906879. The next prime is 455906911. The reversal of 455906880 is 88609554.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 11119660 + ... + 11119700.

It is an arithmetic number, because the mean of its divisors is an integer number (2912364).

Almost surely, 2^455906880 is an apocalyptic number.

455906880 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 455906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978554304).

455906880 is an abundant number, since it is smaller than the sum of its proper divisors (1501201728).

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

455906880 is a wasteful number, since it uses less digits than its factorization.

455906880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 455906880 is about 21351.9760209682. The cubic root of 455906880 is about 769.6478290591.

The spelling of 455906880 in words is "four hundred fifty-five million, nine hundred six thousand, eight hundred eighty".