492901920 has 288 divisors, whose sum is σ = 1944528768. Its totient is φ = 111366144.

The previous prime is 492901907. The next prime is 492901939. The reversal of 492901920 is 29109294.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1078332 + ... + 1078788.

It is an arithmetic number, because the mean of its divisors is an integer number (6751836).

Almost surely, 2^492901920 is an apocalyptic number.

492901920 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 492901920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972264384).

492901920 is an abundant number, since it is smaller than the sum of its proper divisors (1451626848).

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

492901920 is a wasteful number, since it uses less digits than its factorization.

492901920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 492901920 is about 22201.3945507934. The cubic root of 492901920 is about 789.9267784510.

The spelling of 492901920 in words is "four hundred ninety-two million, nine hundred one thousand, nine hundred twenty".