456740 has 24 divisors (see below), whose sum is σ = 984312. Its totient is φ = 177920.

The previous prime is 456737. The next prime is 456763. The reversal of 456740 is 47654.

It can be written as a sum of positive squares in 4 ways, for example, as 18496 + 438244 = 136^2 + 662^2 .

It is a super-2 number, since 2×456740² = 417222855200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 542 + ... + 1098.

It is an arithmetic number, because the mean of its divisors is an integer number (41013).

2⁴⁵⁶⁷⁴⁰ 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 456740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492156).

456740 is an abundant number, since it is smaller than the sum of its proper divisors (527572).

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

456740 is a wasteful number, since it uses less digits than its factorization.

456740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 456740 is about 675.8254212443. The cubic root of 456740 is about 77.0116359545.

The spelling of 456740 in words is "four hundred fifty-six thousand, seven hundred forty".