496967940 has 192 divisors, whose sum is σ = 1792197120. Its totient is φ = 111974400.

The previous prime is 496967927. The next prime is 496967959. The reversal of 496967940 is 49769694.

496967940 is a `hidden beast` number, since 496 + 9 + 67 + 94 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275040 + ... + 276840.

It is an arithmetic number, because the mean of its divisors is an integer number (9334360).

Almost surely, 2^496967940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496967940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896098560).

496967940 is an abundant number, since it is smaller than the sum of its proper divisors (1295229180).

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

496967940 is a wasteful number, since it uses less digits than its factorization.

496967940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 496967940 is about 22292.7777542414. Note that the first 4 decimals coincide. The cubic root of 496967940 is about 792.0929069155.

The spelling of 496967940 in words is "four hundred ninety-six million, nine hundred sixty-seven thousand, nine hundred forty".