1866880400 has 240 divisors, whose sum is σ = 5710646400. Its totient is φ = 581414400.

The previous prime is 1866880391. The next prime is 1866880447. The reversal of 1866880400 is 40886681.

It is a super-3 number, since 3×1866880400³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1508582 + ... + 1509818.

It is an arithmetic number, because the mean of its divisors is an integer number (23794360).

Almost surely, 2^1866880400 is an apocalyptic number.

1866880400 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 1866880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855323200).

1866880400 is an abundant number, since it is smaller than the sum of its proper divisors (3843766000).

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

1866880400 is a wasteful number, since it uses less digits than its factorization.

1866880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 1866880400 is about 43207.4114012862. The cubic root of 1866880400 is about 1231.3234922248.

The spelling of 1866880400 in words is "one billion, eight hundred sixty-six million, eight hundred eighty thousand, four hundred".