180308400 has 240 divisors, whose sum is σ = 617008128. Its totient is φ = 44928000.

The previous prime is 180308389. The next prime is 180308413. The reversal of 180308400 is 4803081.

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

It is a super-2 number, since 2×180308400² = 65022238221120000, which contains 22 as substring.

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

It is a congruent number.

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, 1376335 + ... + 1376465.

Almost surely, 2^180308400 is an apocalyptic number.

180308400 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 180308400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308504064).

180308400 is an abundant number, since it is smaller than the sum of its proper divisors (436699728).

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

180308400 is a wasteful number, since it uses less digits than its factorization.

180308400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 180308400 is about 13427.8963356142. The cubic root of 180308400 is about 564.9438950215.

The spelling of 180308400 in words is "one hundred eighty million, three hundred eight thousand, four hundred".