404957341 has 8 divisors (see below), whose sum is σ = 418943160. Its totient is φ = 391131648.

The previous prime is 404957339. The next prime is 404957347. The reversal of 404957341 is 143759404.

404957341 = 14229² + 14230².

It can be written as a sum of positive squares in 4 ways, for example, as 78251716 + 326705625 = 8846^2 + 18075^2 .

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 404957341 - 2¹ = 404957339 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 404957341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404957347) 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, 34876 + ... + 45013.

It is an arithmetic number, because the mean of its divisors is an integer number (52367895).

Almost surely, 2^404957341 is an apocalyptic number.

404957341 is the 14230-th centered square number.

It is an amenable number.

404957341 is a deficient number, since it is larger than the sum of its proper divisors (13985819).

404957341 is a wasteful number, since it uses less digits than its factorization.

404957341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80063.

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 404957341 is about 20123.5518982112. The cubic root of 404957341 is about 739.8376445621.

The spelling of 404957341 in words is "four hundred four million, nine hundred fifty-seven thousand, three hundred forty-one".