824970432 has 112 divisors (see below), whose sum is σ = 2564416512. Its totient is φ = 230753280.

The previous prime is 824970431. The next prime is 824970467. The reversal of 824970432 is 234079428.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (824970431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12433 + ... + 42479.

It is an arithmetic number, because the mean of its divisors is an integer number (22896576).

Almost surely, 2^824970432 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 824970432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282208256).

824970432 is an abundant number, since it is smaller than the sum of its proper divisors (1739446080).

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

824970432 is a wasteful number, since it uses less digits than its factorization.

824970432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30086 (or 30076 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 824970432 is about 28722.2985152651. The cubic root of 824970432 is about 937.8775229056.

The spelling of 824970432 in words is "eight hundred twenty-four million, nine hundred seventy thousand, four hundred thirty-two".