1900440960 has 128 divisors (see below), whose sum is σ = 6608424960. Its totient is φ = 460707840.

The previous prime is 1900440959. The next prime is 1900440989. The reversal of 1900440960 is 690440091.

1900440960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1900440960² = 7223351684891443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23872 + ... + 66111.

It is an arithmetic number, because the mean of its divisors is an integer number (51628320).

Almost surely, 2^1900440960 is an apocalyptic number.

1900440960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1900440960 is an abundant number, since it is smaller than the sum of its proper divisors (4707984000).

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

1900440960 is a wasteful number, since it uses less digits than its factorization.

1900440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90016 (or 90004 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1900440960 is about 43594.0473000615. The cubic root of 1900440960 is about 1238.6581391387.

The spelling of 1900440960 in words is "one billion, nine hundred million, four hundred forty thousand, nine hundred sixty".