414514404 has 36 divisors (see below), whose sum is σ = 1076122684. Its totient is φ = 134436672.

The previous prime is 414514369. The next prime is 414514409. The reversal of 414514404 is 404415414.

It can be written as a sum of positive squares in 2 ways, for example, as 167961600 + 246552804 = 12960^2 + 15702^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×414514404² = 343644382246950432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414514409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154267 + ... + 156930.

Almost surely, 2^414514404 is an apocalyptic number.

It is an amenable number.

414514404 is an abundant number, since it is smaller than the sum of its proper divisors (661608280).

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

414514404 is a wasteful number, since it uses less digits than its factorization.

414514404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311244 (or 311239 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 414514404 is about 20359.6268138687. The cubic root of 414514404 is about 745.6125490813.

Adding to 414514404 its reverse (404415414), we get a palindrome (818929818).

The spelling of 414514404 in words is "four hundred fourteen million, five hundred fourteen thousand, four hundred four".