456380736 has 112 divisors (see below), whose sum is σ = 1386718080. Its totient is φ = 129761280.

The previous prime is 456380719. The next prime is 456380761. The reversal of 456380736 is 637083654.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 323200 + ... + 324608.

Almost surely, 2^456380736 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 456380736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693359040).

456380736 is an abundant number, since it is smaller than the sum of its proper divisors (930337344).

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

456380736 is a wasteful number, since it uses less digits than its factorization.

456380736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 456380736 is about 21363.0694423812. The cubic root of 456380736 is about 769.9143863884.

The spelling of 456380736 in words is "four hundred fifty-six million, three hundred eighty thousand, seven hundred thirty-six".