492561120 has 72 divisors (see below), whose sum is σ = 1553100696. Its totient is φ = 131219968.

The previous prime is 492561119. The next prime is 492561133. The reversal of 492561120 is 21165294.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 485734 + ... + 486746.

It is an arithmetic number, because the mean of its divisors is an integer number (21570843).

Almost surely, 2^492561120 is an apocalyptic number.

492561120 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 492561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776550348).

492561120 is an abundant number, since it is smaller than the sum of its proper divisors (1060539576).

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

492561120 is an equidigital number, since it uses as much as digits as its factorization.

492561120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 492561120 is about 22193.7180301093. The cubic root of 492561120 is about 789.7446806180.

Multiplying 492561120 by its sum of digits (30), we get a square (14776833600 = 121560²).

492561120 divided by its sum of digits (30) gives a square (16418704 = 4052²).

Multiplying 492561120 by its product of nonzero digits (4320), we get a square (2127864038400 = 1458720²).

The spelling of 492561120 in words is "four hundred ninety-two million, five hundred sixty-one thousand, one hundred twenty".