420057132 has 48 divisors (see below), whose sum is σ = 1074898944. Its totient is φ = 126616000.

The previous prime is 420057109. The next prime is 420057139. The reversal of 420057132 is 231750024.

It is not an unprimeable number, because it can be changed into a prime (420057139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16882 + ... + 33542.

It is an arithmetic number, because the mean of its divisors is an integer number (22393728).

Almost surely, 2^420057132 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 420057132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537449472).

420057132 is an abundant number, since it is smaller than the sum of its proper divisors (654841812).

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

420057132 is a wasteful number, since it uses less digits than its factorization.

420057132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16870 (or 16868 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 420057132 is about 20495.2953625948. The cubic root of 420057132 is about 748.9211938694.

The spelling of 420057132 in words is "four hundred twenty million, fifty-seven thousand, one hundred thirty-two".