1872230400 has 432 divisors, whose sum is σ = 7129231200. Its totient is φ = 467927040.

The previous prime is 1872230387. The next prime is 1872230413. The reversal of 1872230400 is 40322781.

It is an interprime number because it is at equal distance from previous prime (1872230387) and next prime (1872230413).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7833481 + ... + 7833719.

It is an arithmetic number, because the mean of its divisors is an integer number (16502850).

Almost surely, 2^1872230400 is an apocalyptic number.

1872230400 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 1872230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564615600).

1872230400 is an abundant number, since it is smaller than the sum of its proper divisors (5257000800).

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

1872230400 is a wasteful number, since it uses less digits than its factorization.

1872230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1872230400 is about 43269.2777845898. The cubic root of 1872230400 is about 1232.4985894461.

The spelling of 1872230400 in words is "one billion, eight hundred seventy-two million, two hundred thirty thousand, four hundred".