496013760 has 448 divisors, whose sum is σ = 2027773440. Its totient is φ = 112803840.

The previous prime is 496013759. The next prime is 496013773. The reversal of 496013760 is 67310694.

496013760 is a `hidden beast` number, since 49 + 601 + 3 + 7 + 6 + 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1615527 + ... + 1615833.

It is an arithmetic number, because the mean of its divisors is an integer number (4526280).

Almost surely, 2^496013760 is an apocalyptic number.

496013760 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 496013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013886720).

496013760 is an abundant number, since it is smaller than the sum of its proper divisors (1531759680).

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

496013760 is a wasteful number, since it uses less digits than its factorization.

496013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 496013760 is about 22271.3663702971. The cubic root of 496013760 is about 791.5856418400.

It can be divided in two parts, 49601 and 3760, that added together give a square (53361 = 231²).

The spelling of 496013760 in words is "four hundred ninety-six million, thirteen thousand, seven hundred sixty".