1868090400 has 432 divisors, whose sum is σ = 7287658560. Its totient is φ = 446515200.

The previous prime is 1868090387. The next prime is 1868090437. The reversal of 1868090400 is 40908681.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8157486 + ... + 8157714.

It is an arithmetic number, because the mean of its divisors is an integer number (16869580).

Almost surely, 2^1868090400 is an apocalyptic number.

1868090400 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 1868090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643829280).

1868090400 is an abundant number, since it is smaller than the sum of its proper divisors (5419568160).

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

1868090400 is a wasteful number, since it uses less digits than its factorization.

1868090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1868090400 is about 43221.4113605745. The cubic root of 1868090400 is about 1231.5894581384.

The spelling of 1868090400 in words is "one billion, eight hundred sixty-eight million, ninety thousand, four hundred".