1890457920 has 224 divisors, whose sum is σ = 7182551040. Its totient is φ = 465315840.

The previous prime is 1890457861. The next prime is 1890457951. The reversal of 1890457920 is 297540981.

It is a super-2 number, since 2×1890457920² = 7147662294581452800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 103905 + ... + 120735.

It is an arithmetic number, because the mean of its divisors is an integer number (32064960).

Almost surely, 2^1890457920 is an apocalyptic number.

1890457920 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 1890457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591275520).

1890457920 is an abundant number, since it is smaller than the sum of its proper divisors (5292093120).

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

1890457920 is a wasteful number, since it uses less digits than its factorization.

1890457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16870 (or 16854 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1890457920 is about 43479.3964999516. The cubic root of 1890457920 is about 1236.4854347346.

The spelling of 1890457920 in words is "one billion, eight hundred ninety million, four hundred fifty-seven thousand, nine hundred twenty".