414344520 has 48 divisors (see below), whose sum is σ = 1346620860. Its totient is φ = 110491776.

The previous prime is 414344507. The next prime is 414344531. The reversal of 414344520 is 25443414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 336869316 + 77475204 = 18354^2 + 8802^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 575119 + ... + 575838.

Almost surely, 2^414344520 is an apocalyptic number.

414344520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414344520 is an abundant number, since it is smaller than the sum of its proper divisors (932276340).

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

414344520 is a wasteful number, since it uses less digits than its factorization.

414344520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150974 (or 1150967 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 414344520 is about 20355.4543059102. The cubic root of 414344520 is about 745.5106748968.

Adding to 414344520 its reverse (25443414), we get a palindrome (439787934).

It can be divided in two parts, 41434 and 4520, that added together give a palindrome (45954).

The spelling of 414344520 in words is "four hundred fourteen million, three hundred forty-four thousand, five hundred twenty".