420924120 has 64 divisors (see below), whose sum is σ = 1264554720. Its totient is φ = 112088064.

The previous prime is 420924103. The next prime is 420924149. The reversal of 420924120 is 21429024.

It is a super-2 number, since 2×420924120² = 354354229595548800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100794 + ... + 104886.

Almost surely, 2^420924120 is an apocalyptic number.

420924120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420924120 is an abundant number, since it is smaller than the sum of its proper divisors (843630600).

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

420924120 is a wasteful number, since it uses less digits than its factorization.

420924120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 420924120 is about 20516.4353628987. The cubic root of 420924120 is about 749.4360916717.

The spelling of 420924120 in words is "four hundred twenty million, nine hundred twenty-four thousand, one hundred twenty".