1490071968 has 432 divisors, whose sum is σ = 5579552160. Its totient is φ = 372556800.

The previous prime is 1490071931. The next prime is 1490071993. The reversal of 1490071968 is 8691700941.

It is a happy number.

1490071968 is a `hidden beast` number, since 1 + 490 + 0 + 71 + 96 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4501563 + ... + 4501893.

It is an arithmetic number, because the mean of its divisors is an integer number (12915630).

Almost surely, 2^1490071968 is an apocalyptic number.

1490071968 is a gapful number since it is divisible by the number (18) 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 1490071968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789776080).

1490071968 is an abundant number, since it is smaller than the sum of its proper divisors (4089480192).

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

1490071968 is a wasteful number, since it uses less digits than its factorization.

1490071968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1490071968 is about 38601.4503354472. The cubic root of 1490071968 is about 1142.1831479975.

It can be divided in two parts, 149007 and 1968, that added together give a triangular number (150975 = T₅₄₉).

The spelling of 1490071968 in words is "one billion, four hundred ninety million, seventy-one thousand, nine hundred sixty-eight".