496442520 has 480 divisors, whose sum is σ = 2011165200. Its totient is φ = 109444608.

The previous prime is 496442501. The next prime is 496442537. The reversal of 496442520 is 25244694.

496442520 is a `hidden beast` number, since 4 + 9 + 644 + 2 + 5 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8414251 + ... + 8414309.

Almost surely, 2^496442520 is an apocalyptic number.

496442520 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 496442520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005582600).

496442520 is an abundant number, since it is smaller than the sum of its proper divisors (1514722680).

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

496442520 is a wasteful number, since it uses less digits than its factorization.

496442520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

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

The square root of 496442520 is about 22280.9901036736. The cubic root of 496442520 is about 791.8136613966.

The spelling of 496442520 in words is "four hundred ninety-six million, four hundred forty-two thousand, five hundred twenty".