407353 has 8 divisors (see below), whose sum is σ = 432000. Its totient is φ = 383328.

The previous prime is 407347. The next prime is 407357. The reversal of 407353 is 353704.

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

It is a 3-Lehmer number, since φ(407353) divides (407353-1)³.

It is a cyclic number.

It is not a de Polignac number, because 407353 - 2⁵ = 407321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (407357) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1948 + ... + 2146.

It is an arithmetic number, because the mean of its divisors is an integer number (54000).

2⁴⁰⁷³⁵³ is an apocalyptic number.

It is an amenable number.

407353 is a deficient number, since it is larger than the sum of its proper divisors (24647).

407353 is a wasteful number, since it uses less digits than its factorization.

407353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311.

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 407353 is about 638.2421170684. The cubic root of 407353 is about 74.1293695117.

Multiplying 407353 by its product of nonzero digits (1260), we get a triangular number (513264780 = T₃₂₀₃₉).

The spelling of 407353 in words is "four hundred seven thousand, three hundred fifty-three".