1863212400 has 360 divisors, whose sum is σ = 7469414784. Its totient is φ = 421286400.

The previous prime is 1863212381. The next prime is 1863212401. The reversal of 1863212400 is 42123681.

1863212400 is a `hidden beast` number, since 1 + 8 + 632 + 1 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1863212401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2696055 + ... + 2696745.

Almost surely, 2^1863212400 is an apocalyptic number.

1863212400 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 1863212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734707392).

1863212400 is an abundant number, since it is smaller than the sum of its proper divisors (5606202384).

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

1863212400 is a wasteful number, since it uses less digits than its factorization.

1863212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1863212400 is about 43164.9441097750. The cubic root of 1863212400 is about 1230.5165389482.

The spelling of 1863212400 in words is "one billion, eight hundred sixty-three million, two hundred twelve thousand, four hundred".