420972160 has 64 divisors (see below), whose sum is σ = 1150168320. Its totient is φ = 144331776.

The previous prime is 420972137. The next prime is 420972161. The reversal of 420972160 is 61279024.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (420972161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42504 + ... + 51463.

It is an arithmetic number, because the mean of its divisors is an integer number (17971380).

Almost surely, 2^420972160 is an apocalyptic number.

420972160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420972160 is an abundant number, since it is smaller than the sum of its proper divisors (729196160).

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

420972160 is an equidigital number, since it uses as much as digits as its factorization.

420972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93993 (or 93981 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 420972160 is about 20517.6060981782. The cubic root of 420972160 is about 749.4646015927.

The spelling of 420972160 in words is "four hundred twenty million, nine hundred seventy-two thousand, one hundred sixty".