1405539968 has 96 divisors (see below), whose sum is σ = 3291768480. Its totient is φ = 585285120.

The previous prime is 1405539899. The next prime is 1405539973. The reversal of 1405539968 is 8699355041.

It is a happy number.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7358753 + ... + 7358943.

It is an arithmetic number, because the mean of its divisors is an integer number (34289255).

Almost surely, 2^1405539968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1405539968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645884240).

1405539968 is an abundant number, since it is smaller than the sum of its proper divisors (1886228512).

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

1405539968 is an frugal number, since it uses more digits than its factorization.

1405539968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 50.

The square root of 1405539968 is about 37490.5317113535. The cubic root of 1405539968 is about 1120.1625954418.

The spelling of 1405539968 in words is "one billion, four hundred five million, five hundred thirty-nine thousand, nine hundred sixty-eight".