414807952 has 40 divisors (see below), whose sum is σ = 870081464. Its totient is φ = 190439424.

The previous prime is 414807941. The next prime is 414807959. The reversal of 414807952 is 259708414.

It can be written as a sum of positive squares in 4 ways, for example, as 14167696 + 400640256 = 3764^2 + 20016^2 .

It is not an unprimeable number, because it can be changed into a prime (414807959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34978 + ... + 45310.

Almost surely, 2^414807952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414807952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435040732).

414807952 is an abundant number, since it is smaller than the sum of its proper divisors (455273512).

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

414807952 is a wasteful number, since it uses less digits than its factorization.

414807952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10547 (or 10541 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 414807952 is about 20366.8346092367. The cubic root of 414807952 is about 745.7885151628.

The spelling of 414807952 in words is "four hundred fourteen million, eight hundred seven thousand, nine hundred fifty-two".