1409249016 has 120 divisors (see below), whose sum is σ = 4591746720. Its totient is φ = 402633504.

The previous prime is 1409248991. The next prime is 1409249029. The reversal of 1409249016 is 6109429041.

It is a happy number.

1409249016 is a `hidden beast` number, since 1 + 409 + 249 + 0 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9561 + ... + 53943.

It is an arithmetic number, because the mean of its divisors is an integer number (38264556).

Almost surely, 2^1409249016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1409249016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295873360).

1409249016 is an abundant number, since it is smaller than the sum of its proper divisors (3182497704).

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

1409249016 is a wasteful number, since it uses less digits than its factorization.

1409249016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44415 (or 44395 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1409249016 is about 37539.9655833620. The cubic root of 1409249016 is about 1121.1470540041.

The spelling of 1409249016 in words is "one billion, four hundred nine million, two hundred forty-nine thousand, sixteen".