456506060 has 48 divisors (see below), whose sum is σ = 983749536. Its totient is φ = 177848832.

The previous prime is 456506021. The next prime is 456506077. The reversal of 456506060 is 60605654.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478544 + ... + 479496.

It is an arithmetic number, because the mean of its divisors is an integer number (20494782).

Almost surely, 2^456506060 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 456506060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491874768).

456506060 is an abundant number, since it is smaller than the sum of its proper divisors (527243476).

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

456506060 is a wasteful number, since it uses less digits than its factorization.

456506060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 456506060 is about 21366.0024337731. The cubic root of 456506060 is about 769.9848538090.

The spelling of 456506060 in words is "four hundred fifty-six million, five hundred six thousand, sixty".