456977136 has 240 divisors, whose sum is σ = 1587755520. Its totient is φ = 111605760.

The previous prime is 456977123. The next prime is 456977161. The reversal of 456977136 is 631779654.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439305 + ... + 440343.

It is an arithmetic number, because the mean of its divisors is an integer number (6615648).

Almost surely, 2^456977136 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 456977136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793877760).

456977136 is an abundant number, since it is smaller than the sum of its proper divisors (1130778384).

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

456977136 is a wasteful number, since it uses less digits than its factorization.

456977136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1079 counting only the distinct ones).

The product of its digits is 952560, while the sum is 48.

The square root of 456977136 is about 21377.0235533388. The cubic root of 456977136 is about 770.2496160413.

The spelling of 456977136 in words is "four hundred fifty-six million, nine hundred seventy-seven thousand, one hundred thirty-six".