456473070 has 96 divisors (see below), whose sum is σ = 1264300128. Its totient is φ = 118412928.

The previous prime is 456473063. The next prime is 456473093. The reversal of 456473070 is 70374654.

456473070 is a `hidden beast` number, since 4 + 5 + 647 + 3 + 0 + 7 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87372 + ... + 92448.

It is an arithmetic number, because the mean of its divisors is an integer number (13169793).

Almost surely, 2^456473070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456473070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632150064).

456473070 is an abundant number, since it is smaller than the sum of its proper divisors (807827058).

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

456473070 is a wasteful number, since it uses less digits than its factorization.

456473070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5136 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 456473070 is about 21365.2303989449. The cubic root of 456473070 is about 769.9663053789.

The spelling of 456473070 in words is "four hundred fifty-six million, four hundred seventy-three thousand, seventy".