1408424400 has 360 divisors, whose sum is σ = 5247060000. Its totient is φ = 348779520.

The previous prime is 1408424387. The next prime is 1408424431. The reversal of 1408424400 is 44248041.

It is a happy number.

1408424400 is a `hidden beast` number, since 140 + 84 + 2 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4035426 + ... + 4035774.

Almost surely, 2^1408424400 is an apocalyptic number.

1408424400 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 1408424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623530000).

1408424400 is an abundant number, since it is smaller than the sum of its proper divisors (3838635600).

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

1408424400 is a wasteful number, since it uses less digits than its factorization.

1408424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 1408424400 is about 37528.9808015086. The cubic root of 1408424400 is about 1120.9283332120.

The spelling of 1408424400 in words is "one billion, four hundred eight million, four hundred twenty-four thousand, four hundred".