1349432448 has 384 divisors, whose sum is σ = 4674929280. Its totient is φ = 335757312.

The previous prime is 1349432431. The next prime is 1349432503. The reversal of 1349432448 is 8442349431.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18485340 + ... + 18485412.

It is an arithmetic number, because the mean of its divisors is an integer number (12174295).

Almost surely, 2^1349432448 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 1349432448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337464640).

1349432448 is an abundant number, since it is smaller than the sum of its proper divisors (3325496832).

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

1349432448 is a wasteful number, since it uses less digits than its factorization.

1349432448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 121 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 1349432448 is about 36734.6219253717. The cubic root of 1349432448 is about 1105.0545479238.

The spelling of 1349432448 in words is "one billion, three hundred forty-nine million, four hundred thirty-two thousand, four hundred forty-eight".