180007452 has 72 divisors (see below), whose sum is σ = 474644352. Its totient is φ = 57456000.

The previous prime is 180007447. The next prime is 180007469. The reversal of 180007452 is 254700081.

180007452 is digitally balanced in base 2, base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

180007452 is strictly pandigital in base 9.

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, 111918 + ... + 113514.

Almost surely, 2^180007452 is an apocalyptic number.

180007452 is a gapful number since it is divisible by the number (12) 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 180007452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237322176).

180007452 is an abundant number, since it is smaller than the sum of its proper divisors (294636900).

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

180007452 is a wasteful number, since it uses less digits than its factorization.

180007452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 180007452 is about 13416.6855817672. The cubic root of 180007452 is about 564.6294089994.

It can be divided in two parts, 18000 and 7452, that added together give a palindrome (25452).

The spelling of 180007452 in words is "one hundred eighty million, seven thousand, four hundred fifty-two".