413032357 has 8 divisors (see below), whose sum is σ = 442243800. Its totient is φ = 384367104.

The previous prime is 413032337. The next prime is 413032363. The reversal of 413032357 is 753230314.

It can be written as a sum of positive squares in 4 ways, for example, as 1185921 + 411846436 = 1089^2 + 20294^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413032357 - 2¹⁵ = 412999589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413032327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134982 + ... + 138007.

It is an arithmetic number, because the mean of its divisors is an integer number (55280475).

Almost surely, 2^413032357 is an apocalyptic number.

It is an amenable number.

413032357 is a deficient number, since it is larger than the sum of its proper divisors (29211443).

413032357 is a wasteful number, since it uses less digits than its factorization.

413032357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273095.

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 413032357 is about 20323.1975092504. The cubic root of 413032357 is about 744.7228715661.

It can be divided in two parts, 41303 and 2357, that added together give a triangular number (43660 = T₂₉₅).

The spelling of 413032357 in words is "four hundred thirteen million, thirty-two thousand, three hundred fifty-seven".