496035960 has 256 divisors, whose sum is σ = 1800437760. Its totient is φ = 106928640.

The previous prime is 496035959. The next prime is 496035973. The reversal of 496035960 is 69530694.

It is a super-2 number, since 2×496035960² = 492103347226243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1119499 + ... + 1119941.

It is an arithmetic number, because the mean of its divisors is an integer number (7032960).

Almost surely, 2^496035960 is an apocalyptic number.

496035960 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 496035960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900218880).

496035960 is an abundant number, since it is smaller than the sum of its proper divisors (1304401800).

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

496035960 is a wasteful number, since it uses less digits than its factorization.

496035960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 496035960 is about 22271.8647625204. The cubic root of 496035960 is about 791.5974512832.

The spelling of 496035960 in words is "four hundred ninety-six million, thirty-five thousand, nine hundred sixty".