1408397760 has 896 divisors, whose sum is σ = 6495897600. Its totient is φ = 278691840.

The previous prime is 1408397737. The next prime is 1408397773. The reversal of 1408397760 is 677938041.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19293084 + ... + 19293156.

Almost surely, 2^1408397760 is an apocalyptic number.

1408397760 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 1408397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247948800).

1408397760 is an abundant number, since it is smaller than the sum of its proper divisors (5087499840).

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

1408397760 is a wasteful number, since it uses less digits than its factorization.

1408397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1408397760 is about 37528.6258741244. The cubic root of 1408397760 is about 1120.9212658065.

The spelling of 1408397760 in words is "one billion, four hundred eight million, three hundred ninety-seven thousand, seven hundred sixty".