496413792 has 192 divisors, whose sum is σ = 1666828800. Its totient is φ = 140797440.

The previous prime is 496413769. The next prime is 496413809. The reversal of 496413792 is 297314694.

It is a happy number.

496413792 is a `hidden beast` number, since 496 + 41 + 37 + 92 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1275934 + ... + 1276322.

It is an arithmetic number, because the mean of its divisors is an integer number (8681400).

Almost surely, 2^496413792 is an apocalyptic number.

496413792 is a gapful number since it is divisible by the number (42) 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 496413792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833414400).

496413792 is an abundant number, since it is smaller than the sum of its proper divisors (1170415008).

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

496413792 is a wasteful number, since it uses less digits than its factorization.

496413792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 612 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 496413792 is about 22280.3454192254. The cubic root of 496413792 is about 791.7983876165.

The spelling of 496413792 in words is "four hundred ninety-six million, four hundred thirteen thousand, seven hundred ninety-two".