1450904400 has 720 divisors, whose sum is σ = 6044613120. Its totient is φ = 330739200.

The previous prime is 1450904381. The next prime is 1450904417. The reversal of 1450904400 is 44090541.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24591571 + ... + 24591629.

It is an arithmetic number, because the mean of its divisors is an integer number (8395296).

Almost surely, 2^1450904400 is an apocalyptic number.

1450904400 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 1450904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022306560).

1450904400 is an abundant number, since it is smaller than the sum of its proper divisors (4593708720).

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

1450904400 is a wasteful number, since it uses less digits than its factorization.

1450904400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

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

The square root of 1450904400 is about 38090.7390319484. The cubic root of 1450904400 is about 1132.0864680253.

Adding to 1450904400 its reverse (44090541), we get a palindrome (1494994941).

The spelling of 1450904400 in words is "one billion, four hundred fifty million, nine hundred four thousand, four hundred".