496713888 has 288 divisors, whose sum is σ = 1706769792. Its totient is φ = 135168000.

The previous prime is 496713887. The next prime is 496713929. The reversal of 496713888 is 888317694.

496713888 is a `hidden beast` number, since 496 + 71 + 3 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (496713881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1238488 + ... + 1238888.

It is an arithmetic number, because the mean of its divisors is an integer number (5926284).

Almost surely, 2^496713888 is an apocalyptic number.

496713888 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 496713888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853384896).

496713888 is an abundant number, since it is smaller than the sum of its proper divisors (1210055904).

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

496713888 is a wasteful number, since it uses less digits than its factorization.

496713888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 457 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 496713888 is about 22287.0789472286. The cubic root of 496713888 is about 791.9579102211.

The spelling of 496713888 in words is "four hundred ninety-six million, seven hundred thirteen thousand, eight hundred eighty-eight".