424878624 has 144 divisors (see below), whose sum is σ = 1244382048. Its totient is φ = 137465856.

The previous prime is 424878617. The next prime is 424878631. The reversal of 424878624 is 426878424.

It is an interprime number because it is at equal distance from previous prime (424878617) and next prime (424878631).

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) 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 424878624.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1871599 + ... + 1871825.

It is an arithmetic number, because the mean of its divisors is an integer number (8641542).

Almost surely, 2^424878624 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 424878624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622191024).

424878624 is an abundant number, since it is smaller than the sum of its proper divisors (819503424).

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

424878624 is a wasteful number, since it uses less digits than its factorization.

424878624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 396 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 424878624 is about 20612.5841174754. The cubic root of 424878624 is about 751.7757177838.

The spelling of 424878624 in words is "four hundred twenty-four million, eight hundred seventy-eight thousand, six hundred twenty-four".