420024660 has 96 divisors (see below), whose sum is σ = 1295892864. Its totient is φ = 100800000.

The previous prime is 420024653. The next prime is 420024677. The reversal of 420024660 is 66420024.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 420024660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63510 + ... + 69810.

It is an arithmetic number, because the mean of its divisors is an integer number (13498884).

Almost surely, 2^420024660 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 420024660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647946432).

420024660 is an abundant number, since it is smaller than the sum of its proper divisors (875868204).

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

420024660 is a wasteful number, since it uses less digits than its factorization.

420024660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6425 (or 6423 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 420024660 is about 20494.5031654832. The cubic root of 420024660 is about 748.9018952281.

Adding to 420024660 its reverse (66420024), we get a palindrome (486444684).

The spelling of 420024660 in words is "four hundred twenty million, twenty-four thousand, six hundred sixty".