1408250880 has 352 divisors, whose sum is σ = 5117172480. Its totient is φ = 367165440.

The previous prime is 1408250869. The next prime is 1408250887. The reversal of 1408250880 is 880528041.

1408250880 is a `hidden beast` number, since 140 + 8 + 2 + 508 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1408250887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8432557 + ... + 8432723.

Almost surely, 2^1408250880 is an apocalyptic number.

1408250880 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 1408250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558586240).

1408250880 is an abundant number, since it is smaller than the sum of its proper divisors (3708921600).

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

1408250880 is a wasteful number, since it uses less digits than its factorization.

1408250880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 1408250880 is about 37526.6689169183. The cubic root of 1408250880 is about 1120.8822979704.

The spelling of 1408250880 in words is "one billion, four hundred eight million, two hundred fifty thousand, eight hundred eighty".