424093824 has 288 divisors, whose sum is σ = 1550942640. Its totient is φ = 109992960.

The previous prime is 424093819. The next prime is 424093843. The reversal of 424093824 is 428390424.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 620587 + ... + 621269.

Almost surely, 2^424093824 is an apocalyptic number.

424093824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424093824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775471320).

424093824 is an abundant number, since it is smaller than the sum of its proper divisors (1126848816).

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

424093824 is a wasteful number, since it uses less digits than its factorization.

424093824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 424093824 is about 20593.5384040723. The cubic root of 424093824 is about 751.3125602408.

The spelling of 424093824 in words is "four hundred twenty-four million, ninety-three thousand, eight hundred twenty-four".