496067760 has 160 divisors (see below), whose sum is σ = 1729889280. Its totient is φ = 130643712.

The previous prime is 496067731. The next prime is 496067771. The reversal of 496067760 is 67760694.

It is a super-2 number, since 2×496067760² = 492166445022835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 177897 + ... + 180663.

It is an arithmetic number, because the mean of its divisors is an integer number (10811808).

Almost surely, 2^496067760 is an apocalyptic number.

496067760 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 496067760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864944640).

496067760 is an abundant number, since it is smaller than the sum of its proper divisors (1233821520).

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

496067760 is a wasteful number, since it uses less digits than its factorization.

496067760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 496067760 is about 22272.5786562760. The cubic root of 496067760 is about 791.6143668990.

The spelling of 496067760 in words is "four hundred ninety-six million, sixty-seven thousand, seven hundred sixty".