413431520 has 24 divisors (see below), whose sum is σ = 976732344. Its totient is φ = 165372544.

The previous prime is 413431493. The next prime is 413431537. The reversal of 413431520 is 25134314.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1291814 + ... + 1292133.

It is an arithmetic number, because the mean of its divisors is an integer number (40697181).

Almost surely, 2^413431520 is an apocalyptic number.

413431520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413431520 is an abundant number, since it is smaller than the sum of its proper divisors (563300824).

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

413431520 is a wasteful number, since it uses less digits than its factorization.

413431520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583962 (or 2583954 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 413431520 is about 20333.0155166419. The cubic root of 413431520 is about 744.9626995123.

Adding to 413431520 its reverse (25134314), we get a palindrome (438565834).

It can be divided in two parts, 413 and 431520, that multiplied together give a triangular number (178217760 = T₁₈₈₇₉).

The spelling of 413431520 in words is "four hundred thirteen million, four hundred thirty-one thousand, five hundred twenty".