1450244400 has 240 divisors, whose sum is σ = 5104339968. Its totient is φ = 349056000.

The previous prime is 1450244399. The next prime is 1450244401. The reversal of 1450244400 is 44420541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1450244399) and next prime (1450244401).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1450244401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2388897 + ... + 2389503.

Almost surely, 2^1450244400 is an apocalyptic number.

1450244400 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 1450244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552169984).

1450244400 is an abundant number, since it is smaller than the sum of its proper divisors (3654095568).

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

1450244400 is a wasteful number, since it uses less digits than its factorization.

1450244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 1450244400 is about 38082.0745233240. The cubic root of 1450244400 is about 1131.9147842140.

Adding to 1450244400 its reverse (44420541), we get a palindrome (1494664941).

The spelling of 1450244400 in words is "one billion, four hundred fifty million, two hundred forty-four thousand, four hundred".