413205144 has 32 divisors (see below), whose sum is σ = 1126923840. Its totient is φ = 125213600.

The previous prime is 413205139. The next prime is 413205167. The reversal of 413205144 is 441502314.

It is a super-3 number, since 3×413205144³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 782322 + ... + 782849.

It is an arithmetic number, because the mean of its divisors is an integer number (35216370).

Almost surely, 2^413205144 is an apocalyptic number.

413205144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

413205144 is an abundant number, since it is smaller than the sum of its proper divisors (713718696).

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

413205144 is a wasteful number, since it uses less digits than its factorization.

413205144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565191 (or 1565187 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 413205144 is about 20327.4480444546. The cubic root of 413205144 is about 744.8267056355.

Adding to 413205144 its reverse (441502314), we get a palindrome (854707458).

It can be divided in two parts, 41320 and 5144, that added together give a palindrome (46464).

The spelling of 413205144 in words is "four hundred thirteen million, two hundred five thousand, one hundred forty-four".