456114132 has 96 divisors (see below), whose sum is σ = 1228953600. Its totient is φ = 146185056.

The previous prime is 456114119. The next prime is 456114149. The reversal of 456114132 is 231411654.

It is a happy number.

456114132 is a `hidden beast` number, since 4 + 5 + 611 + 41 + 3 + 2 = 666.

It is a super-2 number, since 2×456114132² = 416080202820226848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 456114096 and 456114105.

It is a congruent number.

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, 298723 + ... + 300245.

It is an arithmetic number, because the mean of its divisors is an integer number (12801600).

Almost surely, 2^456114132 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 456114132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614476800).

456114132 is an abundant number, since it is smaller than the sum of its proper divisors (772839468).

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

456114132 is a wasteful number, since it uses less digits than its factorization.

456114132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1634 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 456114132 is about 21356.8286971638. The cubic root of 456114132 is about 769.7644368534.

Adding to 456114132 its reverse (231411654), we get a palindrome (687525786).

The spelling of 456114132 in words is "four hundred fifty-six million, one hundred fourteen thousand, one hundred thirty-two".