415352144 has 20 divisors (see below), whose sum is σ = 806341620. Its totient is φ = 207264000.

The previous prime is 415352129. The next prime is 415352221. The reversal of 415352144 is 441253514.

It can be written as a sum of positive squares in 2 ways, for example, as 336355600 + 78996544 = 18340^2 + 8888^2 .

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 17357 + ... + 33644.

It is an arithmetic number, because the mean of its divisors is an integer number (40317081).

Almost surely, 2^415352144 is an apocalyptic number.

It is an amenable number.

415352144 is a deficient number, since it is larger than the sum of its proper divisors (390989476).

415352144 is a wasteful number, since it uses less digits than its factorization.

415352144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51518 (or 51512 counting only the distinct ones).

The product of its digits is 9600, while the sum is 29.

The square root of 415352144 is about 20380.1899893009. The cubic root of 415352144 is about 746.1145092283.

The spelling of 415352144 in words is "four hundred fifteen million, three hundred fifty-two thousand, one hundred forty-four".