420635376 has 160 divisors (see below), whose sum is σ = 1452684800. Its totient is φ = 113840640.

The previous prime is 420635353. The next prime is 420635419. The reversal of 420635376 is 673536024.

It is a super-2 number, since 2×420635376² = 353868239085322752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 420635376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53796 + ... + 61116.

It is an arithmetic number, because the mean of its divisors is an integer number (9079280).

Almost surely, 2^420635376 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 420635376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726342400).

420635376 is an abundant number, since it is smaller than the sum of its proper divisors (1032049424).

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

420635376 is a wasteful number, since it uses less digits than its factorization.

420635376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7364 (or 7352 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 420635376 is about 20509.3972607681. The cubic root of 420635376 is about 749.2646873226.

The spelling of 420635376 in words is "four hundred twenty million, six hundred thirty-five thousand, three hundred seventy-six".