488827920 has 240 divisors, whose sum is σ = 1780118208. Its totient is φ = 110638080.

The previous prime is 488827909. The next prime is 488827931. The reversal of 488827920 is 29728884.

It is an interprime number because it is at equal distance from previous prime (488827909) and next prime (488827931).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 488827920.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2316615 + ... + 2316825.

Almost surely, 2^488827920 is an apocalyptic number.

488827920 is a gapful number since it is divisible by the number (40) 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 488827920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890059104).

488827920 is an abundant number, since it is smaller than the sum of its proper divisors (1291290288).

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

488827920 is a wasteful number, since it uses less digits than its factorization.

488827920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 488827920 is about 22109.4531818406. The cubic root of 488827920 is about 787.7444179588.

The spelling of 488827920 in words is "four hundred eighty-eight million, eight hundred twenty-seven thousand, nine hundred twenty".