487724832 has 432 divisors, whose sum is σ = 1815035040. Its totient is φ = 123088896.

The previous prime is 487724819. The next prime is 487724833. The reversal of 487724832 is 238427784.

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

It is not an unprimeable number, because it can be changed into a prime (487724833) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4558123 + ... + 4558229.

It is an arithmetic number, because the mean of its divisors is an integer number (4201470).

Almost surely, 2^487724832 is an apocalyptic number.

487724832 is a gapful number since it is divisible by the number (42) 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 487724832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907517520).

487724832 is an abundant number, since it is smaller than the sum of its proper divisors (1327310208).

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

487724832 is a wasteful number, since it uses less digits than its factorization.

487724832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 487724832 is about 22084.4930211223. The cubic root of 487724832 is about 787.1514309217.

The spelling of 487724832 in words is "four hundred eighty-seven million, seven hundred twenty-four thousand, eight hundred thirty-two".