1408990464 has 360 divisors, whose sum is σ = 5092895808. Its totient is φ = 378224640.

The previous prime is 1408990441. The next prime is 1408990519. The reversal of 1408990464 is 4640998041.

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 39 ways as a sum of consecutive naturals, for example, 2467299 + ... + 2467869.

Almost surely, 2^1408990464 is an apocalyptic number.

1408990464 is a gapful number since it is divisible by the number (14) 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 1408990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546447904).

1408990464 is an abundant number, since it is smaller than the sum of its proper divisors (3683905344).

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

1408990464 is an equidigital number, since it uses as much as digits as its factorization.

1408990464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1408990464 is about 37536.5217355045. The cubic root of 1408990464 is about 1121.0784849674.

The spelling of 1408990464 in words is "one billion, four hundred eight million, nine hundred ninety thousand, four hundred sixty-four".