1408970880 has 192 divisors, whose sum is σ = 5151907800. Its totient is φ = 353599488.

The previous prime is 1408970879. The next prime is 1408970923. The reversal of 1408970880 is 880798041.

It can be written as a sum of positive squares in 4 ways, for example, as 1166359104 + 242611776 = 34152^2 + 15576^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 90726 + ... + 105114.

Almost surely, 2^1408970880 is an apocalyptic number.

1408970880 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 1408970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575953900).

1408970880 is an abundant number, since it is smaller than the sum of its proper divisors (3742936920).

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

1408970880 is a wasteful number, since it uses less digits than its factorization.

1408970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14431 (or 14416 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 1408970880 is about 37536.2608686587. The cubic root of 1408970880 is about 1121.0732908696.

The spelling of 1408970880 in words is "one billion, four hundred eight million, nine hundred seventy thousand, eight hundred eighty".