1408402944 has 320 divisors, whose sum is σ = 4764070080. Its totient is φ = 406978560.

The previous prime is 1408402937. The next prime is 1408402969. The reversal of 1408402944 is 4492048041.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1408402899 and 1408402908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3054874 + ... + 3055334.

It is an arithmetic number, because the mean of its divisors is an integer number (14887719).

Almost surely, 2^1408402944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1408402944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382035040).

1408402944 is an abundant number, since it is smaller than the sum of its proper divisors (3355667136).

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

1408402944 is a wasteful number, since it uses less digits than its factorization.

1408402944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1408402944 is about 37528.6949413379. The cubic root of 1408402944 is about 1120.9226410924.

The spelling of 1408402944 in words is "one billion, four hundred eight million, four hundred two thousand, nine hundred forty-four".