456021930 has 160 divisors (see below), whose sum is σ = 1377823104. Its totient is φ = 96018048.

The previous prime is 456021913. The next prime is 456021931. The reversal of 456021930 is 39120654.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456021931) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 936147 + ... + 936633.

Almost surely, 2^456021930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456021930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688911552).

456021930 is an abundant number, since it is smaller than the sum of its proper divisors (921801174).

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

456021930 is a wasteful number, since it uses less digits than its factorization.

456021930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 456021930 is about 21354.6699810603. The cubic root of 456021930 is about 769.7125648923.

The spelling of 456021930 in words is "four hundred fifty-six million, twenty-one thousand, nine hundred thirty".