492759552 has 160 divisors (see below), whose sum is σ = 1410659712. Its totient is φ = 152305664.

The previous prime is 492759517. The next prime is 492759559. The reversal of 492759552 is 255957294.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (492759559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2950573 + ... + 2950739.

Almost surely, 2^492759552 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 492759552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705329856).

492759552 is an abundant number, since it is smaller than the sum of its proper divisors (917900160).

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

492759552 is a wasteful number, since it uses less digits than its factorization.

492759552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 302 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 48.

The square root of 492759552 is about 22198.1880341617. The cubic root of 492759552 is about 789.8507179339.

The spelling of 492759552 in words is "four hundred ninety-two million, seven hundred fifty-nine thousand, five hundred fifty-two".