488332416 has 128 divisors (see below), whose sum is σ = 1524075840. Its totient is φ = 136581120.

The previous prime is 488332393. The next prime is 488332423. The reversal of 488332416 is 614233884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50466 + ... + 59358.

Almost surely, 2^488332416 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 488332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762037920).

488332416 is an abundant number, since it is smaller than the sum of its proper divisors (1035743424).

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

488332416 is a wasteful number, since it uses less digits than its factorization.

488332416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8934 (or 8922 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 488332416 is about 22098.2446361696. The cubic root of 488332416 is about 787.4781603417.

The spelling of 488332416 in words is "four hundred eighty-eight million, three hundred thirty-two thousand, four hundred sixteen".