1417889408 has 64 divisors (see below), whose sum is σ = 3140229120. Its totient is φ = 633277440.

The previous prime is 1417889399. The next prime is 1417889413. The reversal of 1417889408 is 8049887141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37841 + ... + 65327.

It is an arithmetic number, because the mean of its divisors is an integer number (49066080).

Almost surely, 2^1417889408 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 1417889408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570114560).

1417889408 is an abundant number, since it is smaller than the sum of its proper divisors (1722339712).

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

1417889408 is a wasteful number, since it uses less digits than its factorization.

1417889408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27545 (or 27533 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 50.

The square root of 1417889408 is about 37654.8723009387. The cubic root of 1417889408 is about 1123.4337138082.

The spelling of 1417889408 in words is "one billion, four hundred seventeen million, eight hundred eighty-nine thousand, four hundred eight".