456540740 has 48 divisors (see below), whose sum is σ = 1033845120. Its totient is φ = 168779520.

The previous prime is 456540709. The next prime is 456540779. The reversal of 456540740 is 47045654.

It is a self number, because there is not a number n which added to its sum of digits gives 456540740.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 929 + ... + 30231.

It is an arithmetic number, because the mean of its divisors is an integer number (21538440).

Almost surely, 2^456540740 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 456540740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516922560).

456540740 is an abundant number, since it is smaller than the sum of its proper divisors (577304380).

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

456540740 is a wasteful number, since it uses less digits than its factorization.

456540740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29372 (or 29370 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 456540740 is about 21366.8139880517. The cubic root of 456540740 is about 770.0043514681.

The spelling of 456540740 in words is "four hundred fifty-six million, five hundred forty thousand, seven hundred forty".