456085764 has 72 divisors (see below), whose sum is σ = 1194502400. Its totient is φ = 146577600.

The previous prime is 456085739. The next prime is 456085769. The reversal of 456085764 is 467580654.

456085764 is a `hidden beast` number, since 4 + 560 + 85 + 7 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (456085769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388899 + ... + 390069.

Almost surely, 2^456085764 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 456085764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597251200).

456085764 is an abundant number, since it is smaller than the sum of its proper divisors (738416636).

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

456085764 is a wasteful number, since it uses less digits than its factorization.

456085764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 456085764 is about 21356.1645432882. The cubic root of 456085764 is about 769.7484780332.

The spelling of 456085764 in words is "four hundred fifty-six million, eighty-five thousand, seven hundred sixty-four".