1905900480 has 168 divisors, whose sum is σ = 7151577264. Its totient is φ = 462028800.

The previous prime is 1905900473. The next prime is 1905900527. The reversal of 1905900480 is 840095091.

1905900480 is a `hidden beast` number, since 1 + 90 + 5 + 90 + 0 + 480 = 666.

1905900480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1600 + ... + 61760.

Almost surely, 2^1905900480 is an apocalyptic number.

1905900480 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 1905900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575788632).

1905900480 is an abundant number, since it is smaller than the sum of its proper divisors (5245676784).

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

1905900480 is a wasteful number, since it uses less digits than its factorization.

1905900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60195 (or 60182 counting only the distinct ones).

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

The square root of 1905900480 is about 43656.6201165413. The cubic root of 1905900480 is about 1239.8431296525.

The spelling of 1905900480 in words is "one billion, nine hundred five million, nine hundred thousand, four hundred eighty".