1406044800 has 144 divisors (see below), whose sum is σ = 5017192830. Its totient is φ = 374937600.

The previous prime is 1406044793. The next prime is 1406044811. The reversal of 1406044800 is 84406041.

1406044800 is a `hidden beast` number, since 14 + 0 + 604 + 48 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1199375424 + 206669376 = 34632^2 + 14376^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1406044800³ (a number of 28 digits) contains 333 as substring.

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 17 ways as a sum of consecutive naturals, for example, 4390 + ... + 53210.

Almost surely, 2^1406044800 is an apocalyptic number.

1406044800 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 1406044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508596415).

1406044800 is an abundant number, since it is smaller than the sum of its proper divisors (3611148030).

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

1406044800 is a wasteful number, since it uses less digits than its factorization.

1406044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48851 (or 48831 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1406044800 is about 37497.2639001834. The cubic root of 1406044800 is about 1120.2966901068.

The spelling of 1406044800 in words is "one billion, four hundred six million, forty-four thousand, eight hundred".