420420564 has 48 divisors (see below), whose sum is σ = 1103135040. Its totient is φ = 138448800.

The previous prime is 420420551. The next prime is 420420577. The reversal of 420420564 is 465024024.

It is an interprime number because it is at equal distance from previous prime (420420551) and next prime (420420577).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 14487 + ... + 32414.

It is an arithmetic number, because the mean of its divisors is an integer number (22981980).

Almost surely, 2^420420564 is an apocalyptic number.

It is an amenable number.

420420564 is an abundant number, since it is smaller than the sum of its proper divisors (682714476).

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

420420564 is a wasteful number, since it uses less digits than its factorization.

420420564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46997 (or 46989 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 420420564 is about 20504.1596755390. The cubic root of 420420564 is about 749.1371196307.

Adding to 420420564 its reverse (465024024), we get a palindrome (885444588).

The spelling of 420420564 in words is "four hundred twenty million, four hundred twenty thousand, five hundred sixty-four".