490904064 has 400 divisors, whose sum is σ = 1782475200. Its totient is φ = 131383296.

The previous prime is 490904047. The next prime is 490904069. The reversal of 490904064 is 460409094.

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 (490904069) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5515732 + ... + 5515820.

It is an arithmetic number, because the mean of its divisors is an integer number (4456188).

Almost surely, 2^490904064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891237600).

490904064 is an abundant number, since it is smaller than the sum of its proper divisors (1291571136).

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

490904064 is an equidigital number, since it uses as much as digits as its factorization.

490904064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 490904064 is about 22156.3549348714. The cubic root of 490904064 is about 788.8580756448.

The spelling of 490904064 in words is "four hundred ninety million, nine hundred four thousand, sixty-four".