1405368 has 48 divisors (see below), whose sum is σ = 3861000. Its totient is φ = 461760.

The previous prime is 1405367. The next prime is 1405387. The reversal of 1405368 is 8635041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1405361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9358 + ... + 9506.

2^1405368 is an apocalyptic number.

1405368 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 1405368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930500).

1405368 is an abundant number, since it is smaller than the sum of its proper divisors (2455632).

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

1405368 is a wasteful number, since it uses less digits than its factorization.

1405368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1405368 is about 1185.4821803806. The cubic root of 1405368 is about 112.0116909565.

The spelling of 1405368 in words is "one million, four hundred five thousand, three hundred sixty-eight".