1890900480 has 320 divisors, whose sum is σ = 7318460160. Its totient is φ = 406585344.

The previous prime is 1890900461. The next prime is 1890900481. The reversal of 1890900480 is 840090981.

1890900480 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 (320).

It is not an unprimeable number, because it can be changed into a prime (1890900481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 912886 + ... + 914954.

It is an arithmetic number, because the mean of its divisors is an integer number (22870188).

Almost surely, 2^1890900480 is an apocalyptic number.

1890900480 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 1890900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659230080).

1890900480 is an abundant number, since it is smaller than the sum of its proper divisors (5427559680).

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

1890900480 is a wasteful number, since it uses less digits than its factorization.

1890900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 1890900480 is about 43484.4855092020. The cubic root of 1890900480 is about 1236.5819151150.

The spelling of 1890900480 in words is "one billion, eight hundred ninety million, nine hundred thousand, four hundred eighty".