180272400 has 240 divisors, whose sum is σ = 720334848. Its totient is φ = 37440000.

The previous prime is 180272387. The next prime is 180272441. The reversal of 180272400 is 4272081.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 91425 + ... + 93375.

Almost surely, 2^180272400 is an apocalyptic number.

180272400 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 180272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360167424).

180272400 is an abundant number, since it is smaller than the sum of its proper divisors (540062448).

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

180272400 is a wasteful number, since it uses less digits than its factorization.

180272400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 180272400 is about 13426.5557757751. Note that the first 3 decimals coincide. The cubic root of 180272400 is about 564.9062940114.

The spelling of 180272400 in words is "one hundred eighty million, two hundred seventy-two thousand, four hundred".