488126496 has 288 divisors, whose sum is σ = 1597506624. Its totient is φ = 128563200.

The previous prime is 488126467. The next prime is 488126501. The reversal of 488126496 is 694621884.

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

It is a congruent number.

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, 13192590 + ... + 13192626.

It is an arithmetic number, because the mean of its divisors is an integer number (5546898).

Almost surely, 2^488126496 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 488126496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798753312).

488126496 is an abundant number, since it is smaller than the sum of its proper divisors (1109380128).

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

488126496 is a wasteful number, since it uses less digits than its factorization.

488126496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 97 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 488126496 is about 22093.5849512930. The cubic root of 488126496 is about 787.3674568566.

The spelling of 488126496 in words is "four hundred eighty-eight million, one hundred twenty-six thousand, four hundred ninety-six".