414324054 has 48 divisors (see below), whose sum is σ = 910859040. Its totient is φ = 136097280.

The previous prime is 414324037. The next prime is 414324059. The reversal of 414324054 is 450423414.

It is a happy number.

414324054 is a `hidden beast` number, since 414 + 3 + 240 + 5 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414324059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626484 + ... + 627144.

It is an arithmetic number, because the mean of its divisors is an integer number (18976230).

Almost surely, 2^414324054 is an apocalyptic number.

414324054 is an abundant number, since it is smaller than the sum of its proper divisors (496534986).

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

414324054 is a wasteful number, since it uses less digits than its factorization.

414324054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1122 counting only the distinct ones).

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

The square root of 414324054 is about 20354.9515843197. The cubic root of 414324054 is about 745.4984001898.

Adding to 414324054 its reverse (450423414), we get a palindrome (864747468).

The spelling of 414324054 in words is "four hundred fourteen million, three hundred twenty-four thousand, fifty-four".