1893338496 has 256 divisors, whose sum is σ = 6496012800. Its totient is φ = 531671040.

The previous prime is 1893338437. The next prime is 1893338561. The reversal of 1893338496 is 6948333981.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1475071 + ... + 1476353.

It is an arithmetic number, because the mean of its divisors is an integer number (25375050).

Almost surely, 2^1893338496 is an apocalyptic number.

1893338496 is a gapful number since it is divisible by the number (16) 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 1893338496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248006400).

1893338496 is an abundant number, since it is smaller than the sum of its proper divisors (4602674304).

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

1893338496 is a wasteful number, since it uses less digits than its factorization.

1893338496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1356 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 1893338496 is about 43512.5096495249. The cubic root of 1893338496 is about 1237.1131455612.

The spelling of 1893338496 in words is "one billion, eight hundred ninety-three million, three hundred thirty-eight thousand, four hundred ninety-six".