490794120 has 128 divisors (see below), whose sum is σ = 1648944000. Its totient is φ = 129841920.

The previous prime is 490794107. The next prime is 490794121. The reversal of 490794120 is 21497094.

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

It is not an unprimeable number, because it can be changed into a prime (490794121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139746 + ... + 143214.

It is an arithmetic number, because the mean of its divisors is an integer number (12882375).

Almost surely, 2^490794120 is an apocalyptic number.

490794120 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 490794120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824472000).

490794120 is an abundant number, since it is smaller than the sum of its proper divisors (1158149880).

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

490794120 is a wasteful number, since it uses less digits than its factorization.

490794120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 490794120 is about 22153.8737019059. The cubic root of 490794120 is about 788.7991797599.

The spelling of 490794120 in words is "four hundred ninety million, seven hundred ninety-four thousand, one hundred twenty".