414045380 has 48 divisors (see below), whose sum is σ = 994869120. Its totient is φ = 141792768.

The previous prime is 414045367. The next prime is 414045403. The reversal of 414045380 is 83540414.

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, 220124 + ... + 221996.

It is an arithmetic number, because the mean of its divisors is an integer number (20726440).

Almost surely, 2^414045380 is an apocalyptic number.

It is an amenable number.

414045380 is an abundant number, since it is smaller than the sum of its proper divisors (580823740).

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

414045380 is a wasteful number, since it uses less digits than its factorization.

414045380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 414045380 is about 20348.1050714802. The cubic root of 414045380 is about 745.3312221768.

Adding to 414045380 its reverse (83540414), we get a palindrome (497585794).

The spelling of 414045380 in words is "four hundred fourteen million, forty-five thousand, three hundred eighty".