1406244320 has 192 divisors, whose sum is σ = 3745211904. Its totient is φ = 495452160.

The previous prime is 1406244313. The next prime is 1406244337. The reversal of 1406244320 is 234426041.

It is a super-3 number, since 3×1406244320³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1406244320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7286144 + ... + 7286336.

It is an arithmetic number, because the mean of its divisors is an integer number (19506312).

Almost surely, 2^1406244320 is an apocalyptic number.

1406244320 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 1406244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872605952).

1406244320 is an abundant number, since it is smaller than the sum of its proper divisors (2338967584).

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

1406244320 is a wasteful number, since it uses less digits than its factorization.

1406244320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 1406244320 is about 37499.9242665902. The cubic root of 1406244320 is about 1120.3496782296.

The spelling of 1406244320 in words is "one billion, four hundred six million, two hundred forty-four thousand, three hundred twenty".