492603120 has 200 divisors, whose sum is σ = 1801380240. Its totient is φ = 124416000.

The previous prime is 492603119. The next prime is 492603143. The reversal of 492603120 is 21306294.

492603120 is a `hidden beast` number, since 49 + 2 + 603 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121120 + ... + 125120.

Almost surely, 2^492603120 is an apocalyptic number.

492603120 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 492603120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900690120).

492603120 is an abundant number, since it is smaller than the sum of its proper divisors (1308777120).

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

492603120 is a wasteful number, since it uses less digits than its factorization.

492603120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 492603120 is about 22194.6642236372. The cubic root of 492603120 is about 789.7671267893.

The spelling of 492603120 in words is "four hundred ninety-two million, six hundred three thousand, one hundred twenty".