420448624 has 40 divisors (see below), whose sum is σ = 864172368. Its totient is φ = 197483520.

The previous prime is 420448619. The next prime is 420448627. The reversal of 420448624 is 426844024.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 420448624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420448627) 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 7 ways as a sum of consecutive naturals, for example, 186834 + ... + 189070.

Almost surely, 2^420448624 is an apocalyptic number.

It is an amenable number.

420448624 is an abundant number, since it is smaller than the sum of its proper divisors (443723744).

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

420448624 is a wasteful number, since it uses less digits than its factorization.

420448624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

The square root of 420448624 is about 20504.8439155240. The cubic root of 420448624 is about 749.1537857358.

The spelling of 420448624 in words is "four hundred twenty million, four hundred forty-eight thousand, six hundred twenty-four".