1872326400 has 216 divisors, whose sum is σ = 7062297984. Its totient is φ = 427929600.

The previous prime is 1872326387. The next prime is 1872326413. The reversal of 1872326400 is 46232781.

1872326400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1872326387) and next prime (1872326413).

It is a super-2 number, since 2×1872326400² = 7011212296273920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127435 + ... + 141365.

It is an arithmetic number, because the mean of its divisors is an integer number (32695824).

Almost surely, 2^1872326400 is an apocalyptic number.

1872326400 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 1872326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531148992).

1872326400 is an abundant number, since it is smaller than the sum of its proper divisors (5189971584).

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

1872326400 is a wasteful number, since it uses less digits than its factorization.

1872326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13967 (or 13948 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1872326400 is about 43270.3871024977. The cubic root of 1872326400 is about 1232.5196548453.

The spelling of 1872326400 in words is "one billion, eight hundred seventy-two million, three hundred twenty-six thousand, four hundred".