421083264 has 256 divisors, whose sum is σ = 1370880000. Its totient is φ = 114250752.

The previous prime is 421083259. The next prime is 421083269. The reversal of 421083264 is 462380124.

It is an interprime number because it is at equal distance from previous prime (421083259) and next prime (421083269).

It is a super-2 number, since 2×421083264² = 354622230441787392, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421083269) 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, 3029307 + ... + 3029445.

It is an arithmetic number, because the mean of its divisors is an integer number (5355000).

Almost surely, 2^421083264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421083264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685440000).

421083264 is an abundant number, since it is smaller than the sum of its proper divisors (949796736).

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

421083264 is a wasteful number, since it uses less digits than its factorization.

421083264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 421083264 is about 20520.3134478984. The cubic root of 421083264 is about 749.5305293021.

The spelling of 421083264 in words is "four hundred twenty-one million, eighty-three thousand, two hundred sixty-four".