1409657680 has 40 divisors (see below), whose sum is σ = 3470248872. Its totient is φ = 530694144.

The previous prime is 1409657653. The next prime is 1409657687. The reversal of 1409657680 is 867569041.

It can be written as a sum of positive squares in 4 ways, for example, as 614643264 + 795014416 = 24792^2 + 28196^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1409657680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1409657687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 516897 + ... + 519616.

Almost surely, 2^1409657680 is an apocalyptic number.

1409657680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1409657680 is an abundant number, since it is smaller than the sum of its proper divisors (2060591192).

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

1409657680 is a wasteful number, since it uses less digits than its factorization.

1409657680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036543 (or 1036537 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 1409657680 is about 37545.4082412217. The cubic root of 1409657680 is about 1121.2554162485.

The spelling of 1409657680 in words is "one billion, four hundred nine million, six hundred fifty-seven thousand, six hundred eighty".