1913990400 has 648 divisors, whose sum is σ = 8065983744. Its totient is φ = 423936000.

The previous prime is 1913990371. The next prime is 1913990443. The reversal of 1913990400 is 40993191.

1913990400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18950350 + ... + 18950450.

Almost surely, 2^1913990400 is an apocalyptic number.

1913990400 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 1913990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032991872).

1913990400 is an abundant number, since it is smaller than the sum of its proper divisors (6151993344).

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

1913990400 is a wasteful number, since it uses less digits than its factorization.

1913990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1913990400 is about 43749.1759922401. The cubic root of 1913990400 is about 1241.5948953806.

The spelling of 1913990400 in words is "one billion, nine hundred thirteen million, nine hundred ninety thousand, four hundred".