490040320 has 264 divisors, whose sum is σ = 1489757472. Its totient is φ = 151388160.

The previous prime is 490040303. The next prime is 490040333. The reversal of 490040320 is 23040094.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 490040291 and 490040300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4336584 + ... + 4336696.

Almost surely, 2^490040320 is an apocalyptic number.

490040320 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 490040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744878736).

490040320 is an abundant number, since it is smaller than the sum of its proper divisors (999717152).

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

490040320 is a wasteful number, since it uses less digits than its factorization.

490040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 490040320 is about 22136.8543384104. The cubic root of 490040320 is about 788.3951396767.

The spelling of 490040320 in words is "four hundred ninety million, forty thousand, three hundred twenty".