414252300200 has 24 divisors (see below), whose sum is σ = 963136598430. Its totient is φ = 165700920000.

The previous prime is 414252300197. The next prime is 414252300221. The reversal of 414252300200 is 2003252414.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 403080232996 + 11172067204 = 634886^2 + 105698^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1035630551 + ... + 1035630950.

Almost surely, 2^414252300200 is an apocalyptic number.

414252300200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414252300200 is an abundant number, since it is smaller than the sum of its proper divisors (548884298230).

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

414252300200 is a wasteful number, since it uses less digits than its factorization.

414252300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071261517 (or 2071261508 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 414252300200 its reverse (2003252414), we get a palindrome (416255552614).

The spelling of 414252300200 in words is "four hundred fourteen billion, two hundred fifty-two million, three hundred thousand, two hundred".