456849480 has 128 divisors (see below), whose sum is σ = 1427374080. Its totient is φ = 116847360.

The previous prime is 456849469. The next prime is 456849539. The reversal of 456849480 is 84948654.

It is a super-2 number, since 2×456849480² = 417422894752540800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471957 + ... + 472923.

It is an arithmetic number, because the mean of its divisors is an integer number (11151360).

Almost surely, 2^456849480 is an apocalyptic number.

456849480 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 456849480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713687040).

456849480 is an abundant number, since it is smaller than the sum of its proper divisors (970524600).

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

456849480 is a wasteful number, since it uses less digits than its factorization.

456849480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 456849480 is about 21374.0375221903. The cubic root of 456849480 is about 770.1778866012.

The spelling of 456849480 in words is "four hundred fifty-six million, eight hundred forty-nine thousand, four hundred eighty".