1409775616 has 72 divisors (see below), whose sum is σ = 2958522840. Its totient is φ = 670343168.

The previous prime is 1409775613. The next prime is 1409775709. The reversal of 1409775616 is 6165779041.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1409775613) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8148906 + ... + 8149078.

It is an arithmetic number, because the mean of its divisors is an integer number (41090595).

Almost surely, 2^1409775616 is an apocalyptic number.

1409775616 is a gapful number since it is divisible by the number (16) 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 1409775616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479261420).

1409775616 is an abundant number, since it is smaller than the sum of its proper divisors (1548747224).

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

1409775616 is an frugal number, since it uses more digits than its factorization.

1409775616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 46.

The square root of 1409775616 is about 37546.9787865815. The cubic root of 1409775616 is about 1121.2866845233.

Multiplying 1409775616 by its sum of digits (46), we get a square (64849678336 = 254656²).

1409775616 divided by its sum of digits (46) gives a square (30647296 = 5536²).

The spelling of 1409775616 in words is "one billion, four hundred nine million, seven hundred seventy-five thousand, six hundred sixteen".