420595164 has 72 divisors (see below), whose sum is σ = 1228067568. Its totient is φ = 119953920.

The previous prime is 420595159. The next prime is 420595193. The reversal of 420595164 is 461595024.

420595164 is a `hidden beast` number, since 4 + 2 + 0 + 595 + 1 + 64 = 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 23 ways as a sum of consecutive naturals, for example, 24507 + ... + 37970.

It is an arithmetic number, because the mean of its divisors is an integer number (17056494).

Almost surely, 2^420595164 is an apocalyptic number.

420595164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420595164 is an abundant number, since it is smaller than the sum of its proper divisors (807472404).

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

420595164 is a wasteful number, since it uses less digits than its factorization.

420595164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62515 (or 62510 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 420595164 is about 20508.4169062363. The cubic root of 420595164 is about 749.2408104342.

The spelling of 420595164 in words is "four hundred twenty million, five hundred ninety-five thousand, one hundred sixty-four".