407742353 has 8 divisors (see below), whose sum is σ = 412210560. Its totient is φ = 403282800.

The previous prime is 407742329. The next prime is 407742359. The reversal of 407742353 is 353247704.

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 407742353 - 2¹⁰ = 407741329 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (407742359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145976 + ... + 148742.

It is an arithmetic number, because the mean of its divisors is an integer number (51526320).

Almost surely, 2^407742353 is an apocalyptic number.

It is an amenable number.

407742353 is a deficient number, since it is larger than the sum of its proper divisors (4468207).

407742353 is a wasteful number, since it uses less digits than its factorization.

407742353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327.

The product of its (nonzero) digits is 70560, while the sum is 35.

The square root of 407742353 is about 20192.6311559440. The cubic root of 407742353 is about 741.5297991152.

The spelling of 407742353 in words is "four hundred seven million, seven hundred forty-two thousand, three hundred fifty-three".