1405481868 has 288 divisors, whose sum is σ = 4623091200. Its totient is φ = 364041216.

The previous prime is 1405481837. The next prime is 1405481879. The reversal of 1405481868 is 8681845041.

1405481868 is a `hidden beast` number, since 1 + 40 + 548 + 1 + 8 + 68 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 3354163 + ... + 3354581.

It is an arithmetic number, because the mean of its divisors is an integer number (16052400).

Almost surely, 2^1405481868 is an apocalyptic number.

1405481868 is a gapful number since it is divisible by the number (18) 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 1405481868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311545600).

1405481868 is an abundant number, since it is smaller than the sum of its proper divisors (3217609332).

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

1405481868 is a wasteful number, since it uses less digits than its factorization.

1405481868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 1405481868 is about 37489.7568410359. The cubic root of 1405481868 is about 1120.1471607227.

The spelling of 1405481868 in words is "one billion, four hundred five million, four hundred eighty-one thousand, eight hundred sixty-eight".