456729060 has 48 divisors (see below), whose sum is σ = 1280043072. Its totient is φ = 121680000.

The previous prime is 456729041. The next prime is 456729071. The reversal of 456729060 is 60927654.

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, 75135 + ... + 80985.

It is an arithmetic number, because the mean of its divisors is an integer number (26667564).

Almost surely, 2^456729060 is an apocalyptic number.

It is an amenable number.

456729060 is an abundant number, since it is smaller than the sum of its proper divisors (823314012).

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

456729060 is a wasteful number, since it uses less digits than its factorization.

456729060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7164 (or 7162 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 456729060 is about 21371.2203675878. The cubic root of 456729060 is about 770.1102107946.

The spelling of 456729060 in words is "four hundred fifty-six million, seven hundred twenty-nine thousand, sixty".