420390576 has 60 divisors (see below), whose sum is σ = 1196474760. Its totient is φ = 137752320.

The previous prime is 420390571. The next prime is 420390617. The reversal of 420390576 is 675093024.

It is a super-2 number, since 2×420390576² = 353456472779223552, 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 420390576.

It is not an unprimeable number, because it can be changed into a prime (420390571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16245 + ... + 33236.

It is an arithmetic number, because the mean of its divisors is an integer number (19941246).

Almost surely, 2^420390576 is an apocalyptic number.

It is an amenable number.

420390576 is an abundant number, since it is smaller than the sum of its proper divisors (776084184).

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

420390576 is a wasteful number, since it uses less digits than its factorization.

420390576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49554 (or 49545 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 420390576 is about 20503.4283962463. The cubic root of 420390576 is about 749.1193075793.

The spelling of 420390576 in words is "four hundred twenty million, three hundred ninety thousand, five hundred seventy-six".