1449901440 has 576 divisors, whose sum is σ = 5813130960. Its totient is φ = 330891264.

The previous prime is 1449901421. The next prime is 1449901483. The reversal of 1449901440 is 441099441.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 1449901395 and 1449901404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21640287 + ... + 21640353.

Almost surely, 2^1449901440 is an apocalyptic number.

1449901440 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 1449901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906565480).

1449901440 is an abundant number, since it is smaller than the sum of its proper divisors (4363229520).

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

1449901440 is a wasteful number, since it uses less digits than its factorization.

1449901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1449901440 is about 38077.5713511248. The cubic root of 1449901440 is about 1131.8255504959.

The spelling of 1449901440 in words is "one billion, four hundred forty-nine million, nine hundred one thousand, four hundred forty".