414769472 has 28 divisors (see below), whose sum is σ = 886372116. Its totient is φ = 191431680.

The previous prime is 414769471. The next prime is 414769477. The reversal of 414769472 is 274967414.

It can be written as a sum of positive squares in 2 ways, for example, as 75620416 + 339149056 = 8696^2 + 18416^2 .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414769471) 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 3 ways as a sum of consecutive naturals, for example, 248429 + ... + 250092.

It is an arithmetic number, because the mean of its divisors is an integer number (31656147).

Almost surely, 2^414769472 is an apocalyptic number.

It is an amenable number.

414769472 is an abundant number, since it is smaller than the sum of its proper divisors (471602644).

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

414769472 is a wasteful number, since it uses less digits than its factorization.

414769472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498546 (or 498536 counting only the distinct ones).

The product of its digits is 338688, while the sum is 44.

The square root of 414769472 is about 20365.8899142660. The cubic root of 414769472 is about 745.7654532218.

The spelling of 414769472 in words is "four hundred fourteen million, seven hundred sixty-nine thousand, four hundred seventy-two".