1450290240 has 504 divisors, whose sum is σ = 5962619520. Its totient is φ = 322430976.

The previous prime is 1450290239. The next prime is 1450290271. The reversal of 1450290240 is 420920541.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6068041 + ... + 6068279.

Almost surely, 2^1450290240 is an apocalyptic number.

1450290240 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 1450290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981309760).

1450290240 is an abundant number, since it is smaller than the sum of its proper divisors (4512329280).

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

1450290240 is a wasteful number, since it uses less digits than its factorization.

1450290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1450290240 is about 38082.6763765364. The cubic root of 1450290240 is about 1131.9267101181.

The spelling of 1450290240 in words is "one billion, four hundred fifty million, two hundred ninety thousand, two hundred forty".