456496560 has 200 divisors, whose sum is σ = 1707755280. Its totient is φ = 112347648.

The previous prime is 456496543. The next prime is 456496577. The reversal of 456496560 is 65694654.

456496560 is a `hidden beast` number, since 45 + 6 + 49 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (456496543) and next prime (456496577).

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 39 ways as a sum of consecutive naturals, for example, 81531 + ... + 86949.

Almost surely, 2^456496560 is an apocalyptic number.

456496560 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 456496560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853877640).

456496560 is an abundant number, since it is smaller than the sum of its proper divisors (1251258720).

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

456496560 is a wasteful number, since it uses less digits than its factorization.

456496560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457 (or 5442 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 456496560 is about 21365.7801168130. The cubic root of 456496560 is about 769.9795125825.

It can be divided in two parts, 4564 and 96560, that added together give a square (101124 = 318²).

The spelling of 456496560 in words is "four hundred fifty-six million, four hundred ninety-six thousand, five hundred sixty".