1993391400 has 384 divisors, whose sum is σ = 8299468800. Its totient is φ = 382233600.

The previous prime is 1993391399. The next prime is 1993391431. The reversal of 1993391400 is 41933991.

1993391400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 598941 + ... + 602259.

It is an arithmetic number, because the mean of its divisors is an integer number (21613200).

Almost surely, 2^1993391400 is an apocalyptic number.

1993391400 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 1993391400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149734400).

1993391400 is an abundant number, since it is smaller than the sum of its proper divisors (6306077400).

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

1993391400 is a wasteful number, since it uses less digits than its factorization.

1993391400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 1993391400 is about 44647.4120190633. The cubic root of 1993391400 is about 1258.5317995611.

It can be divided in two parts, 1993 and 391400, that added together give a palindrome (393393).

The spelling of 1993391400 in words is "one billion, nine hundred ninety-three million, three hundred ninety-one thousand, four hundred".