496342080 has 336 divisors, whose sum is σ = 1910510784. Its totient is φ = 121927680.

The previous prime is 496342057. The next prime is 496342103. The reversal of 496342080 is 80243694.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (496342057) and next prime (496342103).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1010635 + ... + 1011125.

It is an arithmetic number, because the mean of its divisors is an integer number (5686044).

Almost surely, 2^496342080 is an apocalyptic number.

496342080 is a gapful number since it is divisible by the number (40) 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 496342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955255392).

496342080 is an abundant number, since it is smaller than the sum of its proper divisors (1414168704).

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

496342080 is a wasteful number, since it uses less digits than its factorization.

496342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 496342080 is about 22278.7360503239. The cubic root of 496342080 is about 791.7602580149.

The spelling of 496342080 in words is "four hundred ninety-six million, three hundred forty-two thousand, eighty".