496324080 has 480 divisors, whose sum is σ = 2061296640. Its totient is φ = 104509440.

The previous prime is 496324069. The next prime is 496324097. The reversal of 496324080 is 80423694.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6798924 + ... + 6798996.

It is an arithmetic number, because the mean of its divisors is an integer number (4294368).

Almost surely, 2^496324080 is an apocalyptic number.

496324080 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 496324080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030648320).

496324080 is an abundant number, since it is smaller than the sum of its proper divisors (1564972560).

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

496324080 is a wasteful number, since it uses less digits than its factorization.

496324080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

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

The square root of 496324080 is about 22278.3320740131. The cubic root of 496324080 is about 791.7506867551.

The spelling of 496324080 in words is "four hundred ninety-six million, three hundred twenty-four thousand, eighty".