492765952 has 108 divisors (see below), whose sum is σ = 1155992376. Its totient is φ = 209018880.

The previous prime is 492765929. The next prime is 492765953. The reversal of 492765952 is 259567294.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 492765896 and 492765905.

It is not an unprimeable number, because it can be changed into a prime (492765953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2044552 + ... + 2044792.

Almost surely, 2^492765952 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 492765952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577996188).

492765952 is an abundant number, since it is smaller than the sum of its proper divisors (663226424).

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

492765952 is a wasteful number, since it uses less digits than its factorization.

492765952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 413 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 49.

The square root of 492765952 is about 22198.3321896038. The cubic root of 492765952 is about 789.8541374669.

The spelling of 492765952 in words is "four hundred ninety-two million, seven hundred sixty-five thousand, nine hundred fifty-two".