180468456 has 64 divisors (see below), whose sum is σ = 519454080. Its totient is φ = 51179520.

The previous prime is 180468443. The next prime is 180468461. The reversal of 180468456 is 654864081.

180468456 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×180468456² = 65137727222047872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19096 + ... + 26936.

It is an arithmetic number, because the mean of its divisors is an integer number (8116470).

Almost surely, 2^180468456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180468456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259727040).

180468456 is an abundant number, since it is smaller than the sum of its proper divisors (338985624).

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

180468456 is a wasteful number, since it uses less digits than its factorization.

180468456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7994 (or 7990 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 180468456 is about 13433.8548451292. The cubic root of 180468456 is about 565.1110085481. Note that the first 3 decimals are identical.

The spelling of 180468456 in words is "one hundred eighty million, four hundred sixty-eight thousand, four hundred fifty-six".