421972992 has 264 divisors, whose sum is σ = 1444232192. Its totient is φ = 116121600.

The previous prime is 421972987. The next prime is 421973021. The reversal of 421972992 is 299279124.

It is a super-2 number, since 2×421972992² = 356122411954864128, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1999767 + ... + 1999977.

Almost surely, 2^421972992 is an apocalyptic number.

421972992 is a gapful number since it is divisible by the number (42) 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 421972992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722116096).

421972992 is an abundant number, since it is smaller than the sum of its proper divisors (1022259200).

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

421972992 is a wasteful number, since it uses less digits than its factorization.

421972992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 254 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 421972992 is about 20541.9812092213. The cubic root of 421972992 is about 750.0580648379.

The spelling of 421972992 in words is "four hundred twenty-one million, nine hundred seventy-two thousand, nine hundred ninety-two".