456930642 has 64 divisors (see below), whose sum is σ = 1078640640. Its totient is φ = 126330624.

The previous prime is 456930631. The next prime is 456930647. The reversal of 456930642 is 246039654.

It is a super-2 number, since 2×456930642² = 417571223197064328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 456930642.

It is not an unprimeable number, because it can be changed into a prime (456930647) 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, 202959 + ... + 205197.

It is an arithmetic number, because the mean of its divisors is an integer number (16853760).

Almost surely, 2^456930642 is an apocalyptic number.

456930642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 456930642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539320320).

456930642 is an abundant number, since it is smaller than the sum of its proper divisors (621709998).

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

456930642 is a wasteful number, since it uses less digits than its factorization.

456930642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407.

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 456930642 is about 21375.9360496798. The cubic root of 456930642 is about 770.2234927793.

The spelling of 456930642 in words is "four hundred fifty-six million, nine hundred thirty thousand, six hundred forty-two".