488322384 has 160 divisors (see below), whose sum is σ = 1457049600. Its totient is φ = 139476480.

The previous prime is 488322383. The next prime is 488322403. The reversal of 488322384 is 483223884.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488322383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 959122 + ... + 959630.

It is an arithmetic number, because the mean of its divisors is an integer number (9106560).

Almost surely, 2^488322384 is an apocalyptic number.

488322384 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 488322384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728524800).

488322384 is an abundant number, since it is smaller than the sum of its proper divisors (968727216).

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

488322384 is a wasteful number, since it uses less digits than its factorization.

488322384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 627 counting only the distinct ones).

The product of its digits is 294912, while the sum is 42.

The square root of 488322384 is about 22098.0176486489. The cubic root of 488322384 is about 787.4727678162.

It can be divided in two parts, 4 and 88322384, that added together give a palindrome (88322388).

The spelling of 488322384 in words is "four hundred eighty-eight million, three hundred twenty-two thousand, three hundred eighty-four".