492903840 has 384 divisors, whose sum is σ = 1877686272. Its totient is φ = 107089920.

The previous prime is 492903809. The next prime is 492903841. The reversal of 492903840 is 48309294.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (492903841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2951437 + ... + 2951603.

It is an arithmetic number, because the mean of its divisors is an integer number (4889808).

Almost surely, 2^492903840 is an apocalyptic number.

492903840 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 492903840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938843136).

492903840 is an abundant number, since it is smaller than the sum of its proper divisors (1384782432).

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

492903840 is a wasteful number, since it uses less digits than its factorization.

492903840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 492903840 is about 22201.4377912783. The cubic root of 492903840 is about 789.9278041165.

The spelling of 492903840 in words is "four hundred ninety-two million, nine hundred three thousand, eight hundred forty".