1490809320 has 768 divisors, whose sum is σ = 6825772800. Its totient is φ = 284497920.

The previous prime is 1490809303. The next prime is 1490809343. The reversal of 1490809320 is 239080941.

1490809320 is a `hidden beast` number, since 1 + 490 + 80 + 93 + 2 + 0 = 666.

It is a Cunningham number, because it is equal to 38611²-1.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7567462 + ... + 7567658.

It is an arithmetic number, because the mean of its divisors is an integer number (8887725).

Almost surely, 2^1490809320 is an apocalyptic number.

1490809320 is a gapful number since it is divisible by the number (10) 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 1490809320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412886400).

1490809320 is an abundant number, since it is smaller than the sum of its proper divisors (5334963480).

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

1490809320 is a wasteful number, since it uses less digits than its factorization.

1490809320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1490809320 is about 38610.9999870503. Note that the first 4 decimals coincide. The cubic root of 1490809320 is about 1142.3715174560.

The spelling of 1490809320 in words is "one billion, four hundred ninety million, eight hundred nine thousand, three hundred twenty".