1492006880 has 144 divisors (see below), whose sum is σ = 4416068160. Its totient is φ = 472163328.

The previous prime is 1492006811. The next prime is 1492006903. The reversal of 1492006880 is 886002941.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94601 + ... + 109239.

It is an arithmetic number, because the mean of its divisors is an integer number (30667140).

Almost surely, 2^1492006880 is an apocalyptic number.

1492006880 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 1492006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208034080).

1492006880 is an abundant number, since it is smaller than the sum of its proper divisors (2924061280).

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

1492006880 is a wasteful number, since it uses less digits than its factorization.

1492006880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14681 (or 14666 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 1492006880 is about 38626.5048897774. The cubic root of 1492006880 is about 1142.6773227796.

The spelling of 1492006880 in words is "one billion, four hundred ninety-two million, six thousand, eight hundred eighty".