420056672 has 96 divisors (see below), whose sum is σ = 1022450688. Its totient is φ = 165758976.

The previous prime is 420056653. The next prime is 420056687. The reversal of 420056672 is 276650024.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 177803 + ... + 180149.

It is an arithmetic number, because the mean of its divisors is an integer number (10650528).

Almost surely, 2^420056672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420056672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511225344).

420056672 is an abundant number, since it is smaller than the sum of its proper divisors (602394016).

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

420056672 is a wasteful number, since it uses less digits than its factorization.

420056672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 420056672 is about 20495.2841405041. The cubic root of 420056672 is about 748.9209204908.

The spelling of 420056672 in words is "four hundred twenty million, fifty-six thousand, six hundred seventy-two".