180354400 has 72 divisors (see below), whose sum is σ = 443502864. Its totient is φ = 71616000.

The previous prime is 180354379. The next prime is 180354401. The reversal of 180354400 is 4453081.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180354401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120054 + ... + 121546.

It is an arithmetic number, because the mean of its divisors is an integer number (6159762).

Almost surely, 2^180354400 is an apocalyptic number.

180354400 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 180354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221751432).

180354400 is an abundant number, since it is smaller than the sum of its proper divisors (263148464).

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

180354400 is a wasteful number, since it uses less digits than its factorization.

180354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 180354400 is about 13429.6090784505. The cubic root of 180354400 is about 564.9919334740.

The spelling of 180354400 in words is "one hundred eighty million, three hundred fifty-four thousand, four hundred".