420000576 has 56 divisors (see below), whose sum is σ = 1112885760. Its totient is φ = 139794432.

The previous prime is 420000569. The next prime is 420000587. The reversal of 420000576 is 675000024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186465 + ... + 188703.

It is an arithmetic number, because the mean of its divisors is an integer number (19872960).

Almost surely, 2^420000576 is an apocalyptic number.

It is an amenable number.

420000576 is an abundant number, since it is smaller than the sum of its proper divisors (692885184).

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

420000576 is a wasteful number, since it uses less digits than its factorization.

420000576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231 (or 3221 counting only the distinct ones).

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

The square root of 420000576 is about 20493.9155848754. The cubic root of 420000576 is about 748.8875810701.

The spelling of 420000576 in words is "four hundred twenty million, five hundred seventy-six", and thus it is an aban number.