456740760 has 192 divisors, whose sum is σ = 1606716000. Its totient is φ = 103563264.

The previous prime is 456740737. The next prime is 456740761. The reversal of 456740760 is 67047654.

It is a super-2 number, since 2×456740760² = 417224243690755200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456740761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1017016 + ... + 1017464.

Almost surely, 2^456740760 is an apocalyptic number.

456740760 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 456740760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803358000).

456740760 is an abundant number, since it is smaller than the sum of its proper divisors (1149975240).

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

456740760 is a wasteful number, since it uses less digits than its factorization.

456740760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 456740760 is about 21371.4940984481. The cubic root of 456740760 is about 770.1167866937.

The spelling of 456740760 in words is "four hundred fifty-six million, seven hundred forty thousand, seven hundred sixty".