180974430 has 192 divisors, whose sum is σ = 610122240. Its totient is φ = 36142848.

The previous prime is 180974429. The next prime is 180974447. The reversal of 180974430 is 34479081.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155029 + ... + 156191.

It is an arithmetic number, because the mean of its divisors is an integer number (3177720).

Almost surely, 2^180974430 is an apocalyptic number.

180974430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 180974430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305061120).

180974430 is an abundant number, since it is smaller than the sum of its proper divisors (429147810).

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

180974430 is a wasteful number, since it uses less digits than its factorization.

180974430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1212 counting only the distinct ones).

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

The square root of 180974430 is about 13452.6737119429. The cubic root of 180974430 is about 565.6386440143.

The spelling of 180974430 in words is "one hundred eighty million, nine hundred seventy-four thousand, four hundred thirty".