1408394880 has 192 divisors, whose sum is σ = 5075291520. Its totient is φ = 359208960.

The previous prime is 1408394863. The next prime is 1408394881. The reversal of 1408394880 is 884938041.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1408394880² = 3967152276020428800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1408394881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127165 + ... + 137795.

It is an arithmetic number, because the mean of its divisors is an integer number (26433810).

Almost surely, 2^1408394880 is an apocalyptic number.

1408394880 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 1408394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537645760).

1408394880 is an abundant number, since it is smaller than the sum of its proper divisors (3666896640).

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

1408394880 is a wasteful number, since it uses less digits than its factorization.

1408394880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10679 (or 10664 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1408394880 is about 37528.5875033953. The cubic root of 1408394880 is about 1120.9205017573.

The spelling of 1408394880 in words is "one billion, four hundred eight million, three hundred ninety-four thousand, eight hundred eighty".