1900480000 has 100 divisors (see below), whose sum is σ = 4745840220. Its totient is φ = 760064000.

The previous prime is 1900479983. The next prime is 1900480003. The reversal of 1900480000 is 840091.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1900480000² = 7223648460800000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1900480003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 317031 + ... + 322969.

Almost surely, 2^1900480000 is an apocalyptic number.

1900480000 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 1900480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372920110).

1900480000 is an abundant number, since it is smaller than the sum of its proper divisors (2845360220).

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

1900480000 is an frugal number, since it uses more digits than its factorization.

1900480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5977 (or 5946 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1900480000 is about 43594.4950653176. The cubic root of 1900480000 is about 1238.6666208339. Note that the first 4 decimals are identical.

The spelling of 1900480000 in words is "one billion, nine hundred million, four hundred eighty thousand".