420057072 has 120 divisors (see below), whose sum is σ = 1201700864. Its totient is φ = 136950912.

The previous prime is 420057061. The next prime is 420057109. The reversal of 420057072 is 270750024.

420057072 is a `hidden beast` number, since 4 + 20 + 0 + 570 + 72 = 666.

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, 1883553 + ... + 1883775.

Almost surely, 2^420057072 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 420057072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600850432).

420057072 is an abundant number, since it is smaller than the sum of its proper divisors (781643792).

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

420057072 is a wasteful number, since it uses less digits than its factorization.

420057072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 420057072 is about 20495.2938988442. The cubic root of 420057072 is about 748.9211582113.

The spelling of 420057072 in words is "four hundred twenty million, fifty-seven thousand, seventy-two".