1490635872 has 336 divisors, whose sum is σ = 4961153232. Its totient is φ = 436700160.

The previous prime is 1490635847. The next prime is 1490635877. The reversal of 1490635872 is 2785360941.

1490635872 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 63 + 587 + 2 = 666.

1490635872 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1490635872 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1490635877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9494418 + ... + 9494574.

It is an arithmetic number, because the mean of its divisors is an integer number (14765337).

It is a 1-persistent number, because it is pandigital, but 2⋅1490635872 = 2981271744 is not.

It is a vampire number, since it can be written as 31086 ⋅ 47952 (with its own digits).

Almost surely, 2^1490635872 is an apocalyptic number.

1490635872 is a gapful number since it is divisible by the number (12) 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 1490635872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480576616).

1490635872 is an abundant number, since it is smaller than the sum of its proper divisors (3470517360).

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

1490635872 is a wasteful number, since it uses less digits than its factorization.

1490635872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1490635872 is about 38608.7538260431. The cubic root of 1490635872 is about 1142.3272127200.

The spelling of 1490635872 in words is "one billion, four hundred ninety million, six hundred thirty-five thousand, eight hundred seventy-two".