492528960 has 336 divisors, whose sum is σ = 2113068672. Its totient is φ = 102297600.

The previous prime is 492528901. The next prime is 492528979. The reversal of 492528960 is 69825294.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220650 + ... + 222870.

Almost surely, 2^492528960 is an apocalyptic number.

492528960 is a gapful number since it is divisible by the number (40) 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 492528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056534336).

492528960 is an abundant number, since it is smaller than the sum of its proper divisors (1620539712).

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

492528960 is a wasteful number, since it uses less digits than its factorization.

492528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 492528960 is about 22192.9934889370. The cubic root of 492528960 is about 789.7274924014.

Adding to 492528960 its product of nonzero digits (311040), we get a square (492840000 = 22200²).

The spelling of 492528960 in words is "four hundred ninety-two million, five hundred twenty-eight thousand, nine hundred sixty".