496811952 has 240 divisors, whose sum is σ = 1767886848. Its totient is φ = 126696960.

The previous prime is 496811947. The next prime is 496811957. The reversal of 496811952 is 259118694.

It is an interprime number because it is at equal distance from previous prime (496811947) and next prime (496811957).

It is a junction number, because it is equal to n+sod(n) for n = 496811898 and 496811907.

It is not an unprimeable number, because it can be changed into a prime (496811957) 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, 405613 + ... + 406835.

Almost surely, 2^496811952 is an apocalyptic number.

496811952 is a gapful number since it is divisible by the number (42) 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 496811952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883943424).

496811952 is an abundant number, since it is smaller than the sum of its proper divisors (1271074896).

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

496811952 is a wasteful number, since it uses less digits than its factorization.

496811952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1279 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 496811952 is about 22289.2788577827. The cubic root of 496811952 is about 792.0100243604.

The spelling of 496811952 in words is "four hundred ninety-six million, eight hundred eleven thousand, nine hundred fifty-two".