1450225920 has 576 divisors, whose sum is σ = 5768985600. Its totient is φ = 305233920.

The previous prime is 1450225913. The next prime is 1450225943. The reversal of 1450225920 is 295220541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10433211 + ... + 10433349.

It is an arithmetic number, because the mean of its divisors is an integer number (10015600).

Almost surely, 2^1450225920 is an apocalyptic number.

1450225920 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 1450225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884492800).

1450225920 is an abundant number, since it is smaller than the sum of its proper divisors (4318759680).

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

1450225920 is a wasteful number, since it uses less digits than its factorization.

1450225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1450225920 is about 38081.8318887104. The cubic root of 1450225920 is about 1131.9099763177.

The spelling of 1450225920 in words is "one billion, four hundred fifty million, two hundred twenty-five thousand, nine hundred twenty".