1451872224 has 216 divisors, whose sum is σ = 4619376216. Its totient is φ = 432115200.

The previous prime is 1451872189. The next prime is 1451872237. The reversal of 1451872224 is 4222781541.

1451872224 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2125387 + ... + 2126069.

It is an arithmetic number, because the mean of its divisors is an integer number (21386001).

Almost surely, 2^1451872224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1451872224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309688108).

1451872224 is an abundant number, since it is smaller than the sum of its proper divisors (3167503992).

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

1451872224 is a wasteful number, since it uses less digits than its factorization.

1451872224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 760 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 1451872224 is about 38103.4411044462. The cubic root of 1451872224 is about 1132.3381310396.

The spelling of 1451872224 in words is "one billion, four hundred fifty-one million, eight hundred seventy-two thousand, two hundred twenty-four".