456824034 has 72 divisors (see below), whose sum is σ = 1060759908. Its totient is φ = 142049280.

The previous prime is 456824003. The next prime is 456824041. The reversal of 456824034 is 430428654.

It can be written as a sum of positive squares in 6 ways, for example, as 436601025 + 20223009 = 20895^2 + 4497^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 456824034.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 712354 + ... + 712994.

Almost surely, 2^456824034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456824034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530379954).

456824034 is an abundant number, since it is smaller than the sum of its proper divisors (603935874).

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

456824034 is a wasteful number, since it uses less digits than its factorization.

456824034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 456824034 is about 21373.4422590279. The cubic root of 456824034 is about 770.1635869896.

The spelling of 456824034 in words is "four hundred fifty-six million, eight hundred twenty-four thousand, thirty-four".