1919030400 has 768 divisors, whose sum is σ = 8499456000. Its totient is φ = 413061120.

The previous prime is 1919030357. The next prime is 1919030411. The reversal of 1919030400 is 40309191.

It is a super-2 number, since 2×1919030400² = 7365355352248320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 11491117 + ... + 11491283.

It is an arithmetic number, because the mean of its divisors is an integer number (11067000).

Almost surely, 2^1919030400 is an apocalyptic number.

1919030400 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 1919030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249728000).

1919030400 is an abundant number, since it is smaller than the sum of its proper divisors (6580425600).

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

1919030400 is a wasteful number, since it uses less digits than its factorization.

1919030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1919030400 is about 43806.7392075694. The cubic root of 1919030400 is about 1242.6837468308.

Adding to 1919030400 its reverse (40309191), we get a palindrome (1959339591).

The spelling of 1919030400 in words is "one billion, nine hundred nineteen million, thirty thousand, four hundred".