496749072 has 160 divisors (see below), whose sum is σ = 1414195200. Its totient is φ = 149700096.

The previous prime is 496749067. The next prime is 496749073. The reversal of 496749072 is 270947694.

It is a super-2 number, since 2×496749072² = 493519281065722368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (496749073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2078329 + ... + 2078567.

It is an arithmetic number, because the mean of its divisors is an integer number (8838720).

Almost surely, 2^496749072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496749072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707097600).

496749072 is an abundant number, since it is smaller than the sum of its proper divisors (917446128).

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

496749072 is a wasteful number, since it uses less digits than its factorization.

496749072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 496749072 is about 22287.8682695317. The cubic root of 496749072 is about 791.9766088388.

The spelling of 496749072 in words is "four hundred ninety-six million, seven hundred forty-nine thousand, seventy-two".