420907872 has 96 divisors (see below), whose sum is σ = 1377540864. Its totient is φ = 109324800.

The previous prime is 420907867. The next prime is 420907873. The reversal of 420907872 is 278709024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 420907872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420907873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21079 + ... + 35862.

It is an arithmetic number, because the mean of its divisors is an integer number (14349384).

Almost surely, 2^420907872 is an apocalyptic number.

420907872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

420907872 is an abundant number, since it is smaller than the sum of its proper divisors (956632992).

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

420907872 is a wasteful number, since it uses less digits than its factorization.

420907872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56972 (or 56964 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 420907872 is about 20516.0393838577. The cubic root of 420907872 is about 749.4264486080.

The spelling of 420907872 in words is "four hundred twenty million, nine hundred seven thousand, eight hundred seventy-two".