1409279440 has 40 divisors (see below), whose sum is σ = 3280046760. Its totient is φ = 563114496.

The previous prime is 1409279411. The next prime is 1409279449. The reversal of 1409279440 is 449729041.

It can be written as a sum of positive squares in 4 ways, for example, as 176145984 + 1233133456 = 13272^2 + 35116^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1409279393 and 1409279402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1409279449) 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, 70926 + ... + 88594.

It is an arithmetic number, because the mean of its divisors is an integer number (82001169).

Almost surely, 2^1409279440 is an apocalyptic number.

1409279440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1409279440 is an abundant number, since it is smaller than the sum of its proper divisors (1870767320).

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

1409279440 is a wasteful number, since it uses less digits than its factorization.

1409279440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18679 (or 18673 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 1409279440 is about 37540.3708026439. The cubic root of 1409279440 is about 1121.1551220205.

The spelling of 1409279440 in words is "one billion, four hundred nine million, two hundred seventy-nine thousand, four hundred forty".