1472328000 has 756 divisors, whose sum is σ = 6268655484. Its totient is φ = 329472000.

The previous prime is 1472327971. The next prime is 1472328001. The reversal of 1472328000 is 8232741.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 1037355264 + 434972736 = 32208^2 + 20856^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1472328001) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 113255994 + ... + 113256006.

Almost surely, 2^1472328000 is an apocalyptic number.

1472328000 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 1472328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134327742).

1472328000 is an abundant number, since it is smaller than the sum of its proper divisors (4796327484).

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

1472328000 is a wasteful number, since it uses less digits than its factorization.

1472328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1472328000 is about 38370.9264938964. The cubic root of 1472328000 is about 1137.6312773659.

The spelling of 1472328000 in words is "one billion, four hundred seventy-two million, three hundred twenty-eight thousand".