1473985920 has 256 divisors, whose sum is σ = 5183688960. Its totient is φ = 353280000.

The previous prime is 1473985879. The next prime is 1473985937. The reversal of 1473985920 is 295893741.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1473985920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2132775 + ... + 2133465.

It is an arithmetic number, because the mean of its divisors is an integer number (20248785).

Almost surely, 2^1473985920 is an apocalyptic number.

1473985920 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 1473985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591844480).

1473985920 is an abundant number, since it is smaller than the sum of its proper divisors (3709703040).

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

1473985920 is a wasteful number, since it uses less digits than its factorization.

1473985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 1473985920 is about 38392.5242723111. The cubic root of 1473985920 is about 1138.0581283890.

The spelling of 1473985920 in words is "one billion, four hundred seventy-three million, nine hundred eighty-five thousand, nine hundred twenty".