496445040 has 240 divisors, whose sum is σ = 2052243648. Its totient is φ = 104730624.

The previous prime is 496445039. The next prime is 496445063. The reversal of 496445040 is 40544694.

496445040 is a `hidden beast` number, since 4 + 9 + 644 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 496444986 and 496445004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61732 + ... + 69308.

Almost surely, 2^496445040 is an apocalyptic number.

496445040 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 496445040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026121824).

496445040 is an abundant number, since it is smaller than the sum of its proper divisors (1555798608).

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

496445040 is a wasteful number, since it uses less digits than its factorization.

496445040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7616 (or 7607 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 496445040 is about 22281.0466540511. The cubic root of 496445040 is about 791.8150011738.

The spelling of 496445040 in words is "four hundred ninety-six million, four hundred forty-five thousand, forty".