456006460 has 96 divisors (see below), whose sum is σ = 1240727040. Its totient is φ = 136712448.

The previous prime is 456006401. The next prime is 456006461. The reversal of 456006460 is 64600654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456006461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27987 + ... + 41173.

It is an arithmetic number, because the mean of its divisors is an integer number (12924240).

Almost surely, 2^456006460 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 456006460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620363520).

456006460 is an abundant number, since it is smaller than the sum of its proper divisors (784720580).

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

456006460 is a wasteful number, since it uses less digits than its factorization.

456006460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13235 (or 13233 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 456006460 is about 21354.3077621355. The cubic root of 456006460 is about 769.7038609337.

The spelling of 456006460 in words is "four hundred fifty-six million, six thousand, four hundred sixty".