420624792 has 64 divisors (see below), whose sum is σ = 1335321600. Its totient is φ = 120178080.

The previous prime is 420624751. The next prime is 420624817. The reversal of 420624792 is 297426024.

420624792 is a `hidden beast` number, since 4 + 20 + 624 + 7 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 137584 + ... + 140607.

It is an arithmetic number, because the mean of its divisors is an integer number (20864400).

Almost surely, 2^420624792 is an apocalyptic number.

420624792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

420624792 is an abundant number, since it is smaller than the sum of its proper divisors (914696808).

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

420624792 is a wasteful number, since it uses less digits than its factorization.

420624792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278213 (or 278203 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 420624792 is about 20509.1392310843. The cubic root of 420624792 is about 749.2584029535.

The spelling of 420624792 in words is "four hundred twenty million, six hundred twenty-four thousand, seven hundred ninety-two".