456877960 has 96 divisors (see below), whose sum is σ = 1304579520. Its totient is φ = 142396800.

The previous prime is 456877943. The next prime is 456877963. The reversal of 456877960 is 69778654.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 456877898 and 456877907.

It is not an unprimeable number, because it can be changed into a prime (456877963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10965 + ... + 32155.

It is an arithmetic number, because the mean of its divisors is an integer number (13589370).

Almost surely, 2^456877960 is an apocalyptic number.

456877960 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 456877960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652289760).

456877960 is an abundant number, since it is smaller than the sum of its proper divisors (847701560).

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

456877960 is a wasteful number, since it uses less digits than its factorization.

456877960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21227 (or 21216 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The square root of 456877960 is about 21374.7037406370. The cubic root of 456877960 is about 770.1938905670.

It can be divided in two parts, 4568 and 77960, that added together give a palindrome (82528).

The spelling of 456877960 in words is "four hundred fifty-six million, eight hundred seventy-seven thousand, nine hundred sixty".