180990400 has 168 divisors, whose sum is σ = 476219520. Its totient is φ = 67584000.

The previous prime is 180990391. The next prime is 180990437. The reversal of 180990400 is 4099081.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 2033556 + ... + 2033644.

It is an arithmetic number, because the mean of its divisors is an integer number (2834640).

Almost surely, 2^180990400 is an apocalyptic number.

180990400 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 180990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238109760).

180990400 is an abundant number, since it is smaller than the sum of its proper divisors (295229120).

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

180990400 is a wasteful number, since it uses less digits than its factorization.

180990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 180990400 is about 13453.2672611526. The cubic root of 180990400 is about 565.6552816933.

The spelling of 180990400 in words is "one hundred eighty million, nine hundred ninety thousand, four hundred".