1405056330 has 96 divisors (see below), whose sum is σ = 3723408000. Its totient is φ = 367526016.

The previous prime is 1405056329. The next prime is 1405056391. The reversal of 1405056330 is 336505041.

It is a junction number, because it is equal to n+sod(n) for n = 1405056294 and 1405056303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2345371 + ... + 2345969.

It is an arithmetic number, because the mean of its divisors is an integer number (38785500).

Almost surely, 2^1405056330 is an apocalyptic number.

1405056330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1405056330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861704000).

1405056330 is an abundant number, since it is smaller than the sum of its proper divisors (2318351670).

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

1405056330 is a wasteful number, since it uses less digits than its factorization.

1405056330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1405056330 is about 37484.0810211482. The cubic root of 1405056330 is about 1120.0341002585.

The spelling of 1405056330 in words is "one billion, four hundred five million, fifty-six thousand, three hundred thirty".