420583820 has 48 divisors (see below), whose sum is σ = 914457600. Its totient is φ = 162317760.

The previous prime is 420583811. The next prime is 420583843. The reversal of 420583820 is 28385024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258971 + ... + 260589.

It is an arithmetic number, because the mean of its divisors is an integer number (19051200).

Almost surely, 2^420583820 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 420583820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

420583820 is an abundant number, since it is smaller than the sum of its proper divisors (493873780).

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

420583820 is a wasteful number, since it uses less digits than its factorization.

420583820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 420583820 is about 20508.1403349987. The cubic root of 420583820 is about 749.2340743731.

The spelling of 420583820 in words is "four hundred twenty million, five hundred eighty-three thousand, eight hundred twenty".