420164720 has 40 divisors (see below), whose sum is σ = 1000717200. Its totient is φ = 163965440.

The previous prime is 420164699. The next prime is 420164729. The reversal of 420164720 is 27461024.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 420164720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420164729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60770 + ... + 67329.

It is an arithmetic number, because the mean of its divisors is an integer number (25017930).

Almost surely, 2^420164720 is an apocalyptic number.

420164720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420164720 is an abundant number, since it is smaller than the sum of its proper divisors (580552480).

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

420164720 is a wasteful number, since it uses less digits than its factorization.

420164720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128153 (or 128147 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 420164720 is about 20497.9198944673. The cubic root of 420164720 is about 748.9851280735.

It can be divided in two parts, 4201 and 64720, that added together give a cube (68921 = 41³).

The spelling of 420164720 in words is "four hundred twenty million, one hundred sixty-four thousand, seven hundred twenty".