1890816480 has 384 divisors, whose sum is σ = 7811112960. Its totient is φ = 418037760.

The previous prime is 1890816479. The next prime is 1890816491. The reversal of 1890816480 is 846180981.

1890816480 is a `hidden beast` number, since 1 + 8 + 90 + 81 + 6 + 480 = 666.

It is a super-2 number, since 2×1890816480² = 7150373922079180800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 936432 + ... + 938448.

It is an arithmetic number, because the mean of its divisors is an integer number (20341440).

Almost surely, 2^1890816480 is an apocalyptic number.

1890816480 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 1890816480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905556480).

1890816480 is an abundant number, since it is smaller than the sum of its proper divisors (5920296480).

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

1890816480 is a wasteful number, since it uses less digits than its factorization.

1890816480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1890816480 is about 43483.5196367543. The cubic root of 1890816480 is about 1236.5636038360.

The spelling of 1890816480 in words is "one billion, eight hundred ninety million, eight hundred sixteen thousand, four hundred eighty".