496797840 has 640 divisors, whose sum is σ = 2228428800. Its totient is φ = 98703360.

The previous prime is 496797827. The next prime is 496797841. The reversal of 496797840 is 48797694.

It is a happy number.

496797840 is a `hidden beast` number, since 496 + 79 + 7 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (496797841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4823229 + ... + 4823331.

It is an arithmetic number, because the mean of its divisors is an integer number (3481920).

Almost surely, 2^496797840 is an apocalyptic number.

496797840 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 496797840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114214400).

496797840 is an abundant number, since it is smaller than the sum of its proper divisors (1731630960).

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

496797840 is a wasteful number, since it uses less digits than its factorization.

496797840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 496797840 is about 22288.9622907842. The cubic root of 496797840 is about 792.0025252445.

The spelling of 496797840 in words is "four hundred ninety-six million, seven hundred ninety-seven thousand, eight hundred forty".