496122264 has 192 divisors, whose sum is σ = 1534740480. Its totient is φ = 144619200.

The previous prime is 496122257. The next prime is 496122269. The reversal of 496122264 is 462221694.

It is a super-2 number, since 2×496122264² = 492274601672971392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496122269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2970709 + ... + 2970875.

It is an arithmetic number, because the mean of its divisors is an integer number (7993440).

Almost surely, 2^496122264 is an apocalyptic number.

496122264 is a gapful number since it is divisible by the number (44) 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 496122264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767370240).

496122264 is an abundant number, since it is smaller than the sum of its proper divisors (1038618216).

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

496122264 is a wasteful number, since it uses less digits than its factorization.

496122264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 214 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 496122264 is about 22273.8021900169. The cubic root of 496122264 is about 791.6433579447.

It can be divided in two parts, 4961 and 22264, that added together give a square (27225 = 165²).

The spelling of 496122264 in words is "four hundred ninety-six million, one hundred twenty-two thousand, two hundred sixty-four".