496181952 has 168 divisors, whose sum is σ = 1641754400. Its totient is φ = 140341248.

The previous prime is 496181929. The next prime is 496181953. The reversal of 496181952 is 259181694.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 496181898 and 496181907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496181953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438924 + ... + 440052.

Almost surely, 2^496181952 is an apocalyptic number.

496181952 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 496181952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820877200).

496181952 is an abundant number, since it is smaller than the sum of its proper divisors (1145572448).

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

496181952 is a wasteful number, since it uses less digits than its factorization.

496181952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1250 counting only the distinct ones).

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

The square root of 496181952 is about 22275.1420197493. The cubic root of 496181952 is about 791.6751039593.

The spelling of 496181952 in words is "four hundred ninety-six million, one hundred eighty-one thousand, nine hundred fifty-two".