1449141408 has 384 divisors, whose sum is σ = 5115882240. Its totient is φ = 393154560.

The previous prime is 1449141383. The next prime is 1449141431. The reversal of 1449141408 is 8041419441.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4571266 + ... + 4571582.

It is an arithmetic number, because the mean of its divisors is an integer number (13322610).

Almost surely, 2^1449141408 is an apocalyptic number.

1449141408 is a gapful number since it is divisible by the number (18) 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 1449141408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557941120).

1449141408 is an abundant number, since it is smaller than the sum of its proper divisors (3666740832).

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

1449141408 is a wasteful number, since it uses less digits than its factorization.

1449141408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1449141408 is about 38067.5899946398. The cubic root of 1449141408 is about 1131.6277499270.

The spelling of 1449141408 in words is "one billion, four hundred forty-nine million, one hundred forty-one thousand, four hundred eight".