1905408900 has 144 divisors (see below), whose sum is σ = 6203769600. Its totient is φ = 501621120.

The previous prime is 1905408899. The next prime is 1905408907. The reversal of 1905408900 is 98045091.

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

It is not an unprimeable number, because it can be changed into a prime (1905408907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208834 + ... + 217766.

Almost surely, 2^1905408900 is an apocalyptic number.

1905408900 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 1905408900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101884800).

1905408900 is an abundant number, since it is smaller than the sum of its proper divisors (4298360700).

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

1905408900 is a wasteful number, since it uses less digits than its factorization.

1905408900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9035 (or 9022 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1905408900 is about 43650.9896795021. The cubic root of 1905408900 is about 1239.7365248394.

The spelling of 1905408900 in words is "one billion, nine hundred five million, four hundred eight thousand, nine hundred".