1903730400 has 648 divisors, whose sum is σ = 8074311336. Its totient is φ = 416102400.

The previous prime is 1903730393. The next prime is 1903730449. The reversal of 1903730400 is 40373091.

1903730400 is a `hidden beast` number, since 190 + 3 + 73 + 0 + 400 = 666.

1903730400 is digitally balanced in base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 44272779 + ... + 44272821.

It is an arithmetic number, because the mean of its divisors is an integer number (12460357).

Almost surely, 2^1903730400 is an apocalyptic number.

1903730400 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 1903730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4037155668).

1903730400 is an abundant number, since it is smaller than the sum of its proper divisors (6170580936).

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

1903730400 is a wasteful number, since it uses less digits than its factorization.

1903730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1903730400 is about 43631.7590752424. The cubic root of 1903730400 is about 1239.3723844377.

The spelling of 1903730400 in words is "one billion, nine hundred three million, seven hundred thirty thousand, four hundred".