456845760 has 672 divisors, whose sum is σ = 2008461312. Its totient is φ = 92897280.

The previous prime is 456845707. The next prime is 456845761. The reversal of 456845760 is 67548654.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456845761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10624299 + ... + 10624341.

Almost surely, 2^456845760 is an apocalyptic number.

456845760 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 456845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004230656).

456845760 is an abundant number, since it is smaller than the sum of its proper divisors (1551615552).

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

456845760 is a wasteful number, since it uses less digits than its factorization.

456845760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

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

The square root of 456845760 is about 21373.9505005509. The cubic root of 456845760 is about 770.1757961464.

The spelling of 456845760 in words is "four hundred fifty-six million, eight hundred forty-five thousand, seven hundred sixty".