420937504 has 48 divisors (see below), whose sum is σ = 894475008. Its totient is φ = 193842432.

The previous prime is 420937477. The next prime is 420937507. The reversal of 420937504 is 405739024.

It is a self number, because there is not a number n which added to its sum of digits gives 420937504.

It is not an unprimeable number, because it can be changed into a prime (420937507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251679 + ... + 253345.

It is an arithmetic number, because the mean of its divisors is an integer number (18634896).

Almost surely, 2^420937504 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 420937504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447237504).

420937504 is an abundant number, since it is smaller than the sum of its proper divisors (473537504).

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

420937504 is a wasteful number, since it uses less digits than its factorization.

420937504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 420937504 is about 20516.7615378256. The cubic root of 420937504 is about 749.4440347869. Note that the first 3 decimals are identical.

The spelling of 420937504 in words is "four hundred twenty million, nine hundred thirty-seven thousand, five hundred four".