456070608 has 160 divisors (see below), whose sum is σ = 1519109120. Its totient is φ = 128304000.

The previous prime is 456070607. The next prime is 456070613. The reversal of 456070608 is 806070654.

It is a happy number.

456070608 is a `hidden beast` number, since 45 + 6 + 0 + 7 + 0 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456070607) 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, 201483 + ... + 203733.

It is an arithmetic number, because the mean of its divisors is an integer number (9494432).

Almost surely, 2^456070608 is an apocalyptic number.

456070608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456070608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759554560).

456070608 is an abundant number, since it is smaller than the sum of its proper divisors (1063038512).

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

456070608 is a wasteful number, since it uses less digits than its factorization.

456070608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 456070608 is about 21355.8097013436. The cubic root of 456070608 is about 769.7399515395.

The spelling of 456070608 in words is "four hundred fifty-six million, seventy thousand, six hundred eight".