496608840 has 512 divisors, whose sum is σ = 2115993600. Its totient is φ = 100776960.

The previous prime is 496608839. The next prime is 496608859. The reversal of 496608840 is 48806694.

It is a happy number.

It is a super-2 number, since 2×496608840² = 493240679932291200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3046599 + ... + 3046761.

It is an arithmetic number, because the mean of its divisors is an integer number (4132800).

Almost surely, 2^496608840 is an apocalyptic number.

496608840 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 496608840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057996800).

496608840 is an abundant number, since it is smaller than the sum of its proper divisors (1619384760).

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

496608840 is a wasteful number, since it uses less digits than its factorization.

496608840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 496608840 is about 22284.7221207714. The cubic root of 496608840 is about 791.9020769658.

The spelling of 496608840 in words is "four hundred ninety-six million, six hundred eight thousand, eight hundred forty".