424974816 has 192 divisors, whose sum is σ = 1466035200. Its totient is φ = 117186048.

The previous prime is 424974791. The next prime is 424974827. The reversal of 424974816 is 618479424.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 174181 + ... + 176603.

It is an arithmetic number, because the mean of its divisors is an integer number (7635600).

Almost surely, 2^424974816 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 424974816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733017600).

424974816 is an abundant number, since it is smaller than the sum of its proper divisors (1041060384).

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

424974816 is a wasteful number, since it uses less digits than its factorization.

424974816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2464 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 424974816 is about 20614.9173173215. The cubic root of 424974816 is about 751.8324472034.

The spelling of 424974816 in words is "four hundred twenty-four million, nine hundred seventy-four thousand, eight hundred sixteen".