420881580 has 288 divisors, whose sum is σ = 1580342400. Its totient is φ = 90316800.

The previous prime is 420881567. The next prime is 420881599. The reversal of 420881580 is 85188024.

420881580 is a `hidden beast` number, since 420 + 88 + 158 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1049380 + ... + 1049780.

It is an arithmetic number, because the mean of its divisors is an integer number (5487300).

Almost surely, 2^420881580 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 420881580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790171200).

420881580 is an abundant number, since it is smaller than the sum of its proper divisors (1159460820).

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

420881580 is a wasteful number, since it uses less digits than its factorization.

420881580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 420881580 is about 20515.3986069001. The cubic root of 420881580 is about 749.4108439814.

The spelling of 420881580 in words is "four hundred twenty million, eight hundred eighty-one thousand, five hundred eighty".