496431540 has 216 divisors, whose sum is σ = 1728889344. Its totient is φ = 114998400.

The previous prime is 496431539. The next prime is 496431557. The reversal of 496431540 is 45134694.

496431540 is a `hidden beast` number, since 4 + 9 + 643 + 1 + 5 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 496431495 and 496431504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 500445 + ... + 501435.

Almost surely, 2^496431540 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 496431540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864444672).

496431540 is an abundant number, since it is smaller than the sum of its proper divisors (1232457804).

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

496431540 is a wasteful number, since it uses less digits than its factorization.

496431540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 496431540 is about 22280.7437039251. The cubic root of 496431540 is about 791.8078237432.

The spelling of 496431540 in words is "four hundred ninety-six million, four hundred thirty-one thousand, five hundred forty".