1405644960 has 144 divisors (see below), whose sum is σ = 4507278048. Its totient is φ = 368225280.

The previous prime is 1405644917. The next prime is 1405644967. The reversal of 1405644960 is 694465041.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1405644967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1785687 + ... + 1786473.

It is an arithmetic number, because the mean of its divisors is an integer number (31300542).

Almost surely, 2^1405644960 is an apocalyptic number.

1405644960 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 1405644960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253639024).

1405644960 is an abundant number, since it is smaller than the sum of its proper divisors (3101633088).

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

1405644960 is an equidigital number, since it uses as much as digits as its factorization.

1405644960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 1405644960 is about 37491.9319320837. The cubic root of 1405644960 is about 1120.1904863083.

The spelling of 1405644960 in words is "one billion, four hundred five million, six hundred forty-four thousand, nine hundred sixty".