490990896 has 300 divisors, whose sum is σ = 1628354112. Its totient is φ = 142560000.

The previous prime is 490990883. The next prime is 490990901. The reversal of 490990896 is 698099094.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4861246 + ... + 4861346.

Almost surely, 2^490990896 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 490990896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814177056).

490990896 is an abundant number, since it is smaller than the sum of its proper divisors (1137363216).

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

490990896 is a wasteful number, since it uses less digits than its factorization.

490990896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 490990896 is about 22158.3143763238. The cubic root of 490990896 is about 788.9045844512.

It can be divided in two parts, 49099089 and 6, that added together give a triangular number (49099095 = T₉₉₀₉).

The spelling of 490990896 in words is "four hundred ninety million, nine hundred ninety thousand, eight hundred ninety-six".