492135552 has 96 divisors (see below), whose sum is σ = 1433512080. Its totient is φ = 162037248.

The previous prime is 492135551. The next prime is 492135563. The reversal of 492135552 is 255531294.

It is a happy number.

492135552 is a `hidden beast` number, since 4 + 92 + 13 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (492135551) 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, 93043 + ... + 98189.

Almost surely, 2^492135552 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 492135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716756040).

492135552 is an abundant number, since it is smaller than the sum of its proper divisors (941376528).

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

492135552 is a wasteful number, since it uses less digits than its factorization.

492135552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250 (or 5235 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 492135552 is about 22184.1283804435. The cubic root of 492135552 is about 789.5171711849.

The spelling of 492135552 in words is "four hundred ninety-two million, one hundred thirty-five thousand, five hundred fifty-two".