1993046400 has 144 divisors (see below), whose sum is σ = 7111749060. Its totient is φ = 531471360.

The previous prime is 1993046399. The next prime is 1993046411. The reversal of 1993046400 is 46403991.

1993046400 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 0 + 4 + 640 + 0 = 666.

1993046400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5802 + ... + 63401.

Almost surely, 2^1993046400 is an apocalyptic number.

1993046400 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 1993046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555874530).

1993046400 is an abundant number, since it is smaller than the sum of its proper divisors (5118702660).

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

1993046400 is a wasteful number, since it uses less digits than its factorization.

1993046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69233 (or 69213 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1993046400 is about 44643.5482460792. The cubic root of 1993046400 is about 1258.4591898832.

The spelling of 1993046400 in words is "one billion, nine hundred ninety-three million, forty-six thousand, four hundred".