488014792704 has 576 divisors, whose sum is σ = 1590508483200. Its totient is φ = 148869218304.

The previous prime is 488014792669. The next prime is 488014792711. The reversal of 488014792704 is 407297410884.

488014792704 is a `hidden beast` number, since 488 + 0 + 1 + 4 + 7 + 92 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 313029877 + ... + 313031435.

It is an arithmetic number, because the mean of its divisors is an integer number (2761299450).

Almost surely, 2^488014792704 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 488014792704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795254241600).

488014792704 is an abundant number, since it is smaller than the sum of its proper divisors (1102493690496).

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

488014792704 is a wasteful number, since it uses less digits than its factorization.

488014792704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 488014792704 in words is "four hundred eighty-eight billion, fourteen million, seven hundred ninety-two thousand, seven hundred four".