711374401 has 16 divisors (see below), whose sum is σ = 759982608. Its totient is φ = 663552000.

The previous prime is 711374393. The next prime is 711374423. The reversal of 711374401 is 104473117.

It can be written as a sum of positive squares in 8 ways, for example, as 108180801 + 603193600 = 10401^2 + 24560^2 .

It is a 3-Lehmer number, since φ(711374401) divides (711374401-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 711374401 - 2³ = 711374393 is a prime.

It is a deceptive number, since it divides R_711374400.

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 711374401.

It is not an unprimeable number, because it can be changed into a prime (711374101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1642681 + ... + 1643113.

It is an arithmetic number, because the mean of its divisors is an integer number (47498913).

It is a Poulet number, since it divides 2^711374400-1.

Almost surely, 2^711374401 is an apocalyptic number.

It is an amenable number.

711374401 is a deficient number, since it is larger than the sum of its proper divisors (48608207).

711374401 is a wasteful number, since it uses less digits than its factorization.

711374401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 711374401 is about 26671.6028952142. The cubic root of 711374401 is about 892.6874125129.

The spelling of 711374401 in words is "seven hundred eleven million, three hundred seventy-four thousand, four hundred one".