180974304 has 192 divisors, whose sum is σ = 629959680. Its totient is φ = 49420800.

The previous prime is 180974293. The next prime is 180974329. The reversal of 180974304 is 403479081.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138454 + ... + 139754.

It is an arithmetic number, because the mean of its divisors is an integer number (3281040).

Almost surely, 2^180974304 is an apocalyptic number.

180974304 is a gapful number since it is divisible by the number (14) 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 180974304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314979840).

180974304 is an abundant number, since it is smaller than the sum of its proper divisors (448985376).

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

180974304 is a wasteful number, since it uses less digits than its factorization.

180974304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 180974304 is about 13452.6690288582. The cubic root of 180974304 is about 565.6385127425.

The spelling of 180974304 in words is "one hundred eighty million, nine hundred seventy-four thousand, three hundred four".