824532480 has 320 divisors, whose sum is σ = 2985523200. Its totient is φ = 215654400.

The previous prime is 824532479. The next prime is 824532491. The reversal of 824532480 is 84235428.

824532480 is a `hidden beast` number, since 82 + 4 + 532 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5460405 + ... + 5460555.

It is an arithmetic number, because the mean of its divisors is an integer number (9329760).

Almost surely, 2^824532480 is an apocalyptic number.

824532480 is a gapful number since it is divisible by the number (80) 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 824532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492761600).

824532480 is an abundant number, since it is smaller than the sum of its proper divisors (2160990720).

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

824532480 is a wasteful number, since it uses less digits than its factorization.

824532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 824532480 is about 28714.6736007916. The cubic root of 824532480 is about 937.7115298685.

The spelling of 824532480 in words is "eight hundred twenty-four million, five hundred thirty-two thousand, four hundred eighty".