414232072 has 32 divisors (see below), whose sum is σ = 836589600. Its totient is φ = 191649024.

The previous prime is 414232067. The next prime is 414232073. The reversal of 414232072 is 270232414.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (414232073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25153 + ... + 38224.

It is an arithmetic number, because the mean of its divisors is an integer number (26143425).

Almost surely, 2^414232072 is an apocalyptic number.

It is an amenable number.

414232072 is an abundant number, since it is smaller than the sum of its proper divisors (422357528).

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

414232072 is a wasteful number, since it uses less digits than its factorization.

414232072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63445 (or 63441 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 414232072 is about 20352.6920086754. The cubic root of 414232072 is about 745.4432279896.

Adding to 414232072 its reverse (270232414), we get a palindrome (684464486).

The spelling of 414232072 in words is "four hundred fourteen million, two hundred thirty-two thousand, seventy-two".