1933048480 has 96 divisors (see below), whose sum is σ = 5000885568. Its totient is φ = 700262400.

The previous prime is 1933048463. The next prime is 1933048487. The reversal of 1933048480 is 848403391.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1933048487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496140 + ... + 500020.

It is an arithmetic number, because the mean of its divisors is an integer number (52092558).

Almost surely, 2^1933048480 is an apocalyptic number.

1933048480 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 1933048480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500442784).

1933048480 is an abundant number, since it is smaller than the sum of its proper divisors (3067837088).

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

1933048480 is a wasteful number, since it uses less digits than its factorization.

1933048480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4190 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 1933048480 is about 43966.4472069327. The cubic root of 1933048480 is about 1245.7022494739.

The spelling of 1933048480 in words is "one billion, nine hundred thirty-three million, forty-eight thousand, four hundred eighty".