1408376970 has 448 divisors, whose sum is σ = 5129720064. Its totient is φ = 268738560.

The previous prime is 1408376941. The next prime is 1408376993. The reversal of 1408376970 is 796738041.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 7297194 + ... + 7297386.

It is an arithmetic number, because the mean of its divisors is an integer number (11450268).

Almost surely, 2^1408376970 is an apocalyptic number.

1408376970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1408376970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564860032).

1408376970 is an abundant number, since it is smaller than the sum of its proper divisors (3721343094).

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

1408376970 is a wasteful number, since it uses less digits than its factorization.

1408376970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

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

The square root of 1408376970 is about 37528.3488845433. The cubic root of 1408376970 is about 1120.9157503031.

The spelling of 1408376970 in words is "one billion, four hundred eight million, three hundred seventy-six thousand, nine hundred seventy".