414531072 has 60 divisors (see below), whose sum is σ = 1196378040. Its totient is φ = 138175488.

The previous prime is 414531053. The next prime is 414531079. The reversal of 414531072 is 270135414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414531079) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40372 + ... + 49587.

It is an arithmetic number, because the mean of its divisors is an integer number (19939634).

Almost surely, 2^414531072 is an apocalyptic number.

It is an amenable number.

414531072 is an abundant number, since it is smaller than the sum of its proper divisors (781846968).

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

414531072 is an equidigital number, since it uses as much as digits as its factorization.

414531072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89983 (or 89964 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 414531072 is about 20360.0361492803. The cubic root of 414531072 is about 745.6225428662.

Adding to 414531072 its reverse (270135414), we get a palindrome (684666486).

The spelling of 414531072 in words is "four hundred fourteen million, five hundred thirty-one thousand, seventy-two".