1409506560 has 648 divisors, whose sum is σ = 6215934816. Its totient is φ = 291594240.

The previous prime is 1409506531. The next prime is 1409506561. The reversal of 1409506560 is 656059041.

1409506560 is a `hidden beast` number, since 1 + 4 + 0 + 95 + 0 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1409506561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6209167 + ... + 6209393.

It is an arithmetic number, because the mean of its divisors is an integer number (9592492).

Almost surely, 2^1409506560 is an apocalyptic number.

1409506560 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 1409506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107967408).

1409506560 is an abundant number, since it is smaller than the sum of its proper divisors (4806428256).

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

1409506560 is a wasteful number, since it uses less digits than its factorization.

1409506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1409506560 is about 37543.3956908535. The cubic root of 1409506560 is about 1121.2153473778.

The spelling of 1409506560 in words is "one billion, four hundred nine million, five hundred six thousand, five hundred sixty".