488192640 has 128 divisors (see below), whose sum is σ = 1675900800. Its totient is φ = 120164352.

The previous prime is 488192581. The next prime is 488192659. The reversal of 488192640 is 46291884.

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

It is a junction number, because it is equal to n+sod(n) for n = 488192592 and 488192601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15181 + ... + 34739.

It is an arithmetic number, because the mean of its divisors is an integer number (13092975).

Almost surely, 2^488192640 is an apocalyptic number.

488192640 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 488192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837950400).

488192640 is an abundant number, since it is smaller than the sum of its proper divisors (1187708160).

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

488192640 is a wasteful number, since it uses less digits than its factorization.

488192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19594 (or 19582 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 488192640 is about 22095.0818056870. The cubic root of 488192640 is about 787.4030195514.

The spelling of 488192640 in words is "four hundred eighty-eight million, one hundred ninety-two thousand, six hundred forty".