496031040 has 168 divisors, whose sum is σ = 1769607840. Its totient is φ = 132254208.

The previous prime is 496031027. The next prime is 496031047. The reversal of 496031040 is 40130694.

496031040 is a `hidden beast` number, since 4 + 9 + 603 + 10 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 496030995 and 496031013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496031047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74571 + ... + 80949.

It is an arithmetic number, because the mean of its divisors is an integer number (10533380).

Almost surely, 2^496031040 is an apocalyptic number.

496031040 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 496031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884803920).

496031040 is an abundant number, since it is smaller than the sum of its proper divisors (1273576800).

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

496031040 is an equidigital number, since it uses as much as digits as its factorization.

496031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6411 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 496031040 is about 22271.7543089897. The cubic root of 496031040 is about 791.5948340857.

The spelling of 496031040 in words is "four hundred ninety-six million, thirty-one thousand, forty".