420624828 has 108 divisors (see below), whose sum is σ = 1197687400. Its totient is φ = 123723072.

The previous prime is 420624821. The next prime is 420624859. The reversal of 420624828 is 828426024.

It is a happy number.

420624828 is a `hidden beast` number, since 4 + 2 + 0 + 624 + 8 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 420624792 and 420624801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420624821) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 246723 + ... + 248421.

Almost surely, 2^420624828 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 420624828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598843700).

420624828 is an abundant number, since it is smaller than the sum of its proper divisors (777062572).

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

420624828 is a wasteful number, since it uses less digits than its factorization.

420624828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 420624828 is about 20509.1401087418. The cubic root of 420624828 is about 749.2584243290.

The spelling of 420624828 in words is "four hundred twenty million, six hundred twenty-four thousand, eight hundred twenty-eight".