488046057408 has 560 divisors, whose sum is σ = 1828769381824. Its totient is φ = 125232168960.

The previous prime is 488046057361. The next prime is 488046057409. The reversal of 488046057408 is 804750640884.

488046057408 is a `hidden beast` number, since 4 + 8 + 8 + 0 + 4 + 60 + 574 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488046057409) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17440548 + ... + 17468508.

Almost surely, 2^488046057408 is an apocalyptic number.

488046057408 is a gapful number since it is divisible by the number (48) 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 488046057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914384690912).

488046057408 is an abundant number, since it is smaller than the sum of its proper divisors (1340723324416).

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

488046057408 is a wasteful number, since it uses less digits than its factorization.

488046057408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28042 (or 28023 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 488046057408 in words is "four hundred eighty-eight billion, forty-six million, fifty-seven thousand, four hundred eight".