401187353 has 12 divisors (see below), whose sum is σ = 468364212. Its totient is φ = 342639360.

The previous prime is 401187331. The next prime is 401187361. The reversal of 401187353 is 353781104.

It can be written as a sum of positive squares in 2 ways, for example, as 327175744 + 74011609 = 18088^2 + 8603^2 .

It is not a de Polignac number, because 401187353 - 2¹⁰ = 401186329 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 (401187323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 800 + ... + 28337.

It is an arithmetic number, because the mean of its divisors is an integer number (39030351).

Almost surely, 2^401187353 is an apocalyptic number.

It is an amenable number.

401187353 is a deficient number, since it is larger than the sum of its proper divisors (67176859).

401187353 is a wasteful number, since it uses less digits than its factorization.

401187353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29432 (or 29425 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 401187353 is about 20029.6618293969. The cubic root of 401187353 is about 737.5346205332.

The spelling of 401187353 in words is "four hundred one million, one hundred eighty-seven thousand, three hundred fifty-three".