488017920 has 312 divisors, whose sum is σ = 1726793856. Its totient is φ = 117571584.

The previous prime is 488017909. The next prime is 488017927. The reversal of 488017920 is 29710884.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×488017920² = 476322980482252800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (488017927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10383337 + ... + 10383383.

Almost surely, 2^488017920 is an apocalyptic number.

488017920 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 488017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863396928).

488017920 is an abundant number, since it is smaller than the sum of its proper divisors (1238775936).

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

488017920 is a wasteful number, since it uses less digits than its factorization.

488017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 488017920 is about 22091.1276307933. The cubic root of 488017920 is about 787.3090733918.

The spelling of 488017920 in words is "four hundred eighty-eight million, seventeen thousand, nine hundred twenty".