492653952 has 192 divisors, whose sum is σ = 1633632000. Its totient is φ = 139594752.

The previous prime is 492653939. The next prime is 492653957. The reversal of 492653952 is 259356294.

492653952 is a `hidden beast` number, since 49 + 26 + 539 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 492653898 and 492653907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492653957) 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, 1604583 + ... + 1604889.

It is an arithmetic number, because the mean of its divisors is an integer number (8508500).

Almost surely, 2^492653952 is an apocalyptic number.

492653952 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 492653952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816816000).

492653952 is an abundant number, since it is smaller than the sum of its proper divisors (1140978048).

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

492653952 is a wasteful number, since it uses less digits than its factorization.

492653952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 518 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 492653952 is about 22195.8093341964. The cubic root of 492653952 is about 789.7942913634.

The spelling of 492653952 in words is "four hundred ninety-two million, six hundred fifty-three thousand, nine hundred fifty-two".