964040401 has 9 divisors (see below), whose sum is σ = 982032753. Its totient is φ = 946373520.

The previous prime is 964040393. The next prime is 964040419. The reversal of 964040401 is 104040469.

The square root of 964040401 is 31049.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 66438801 + 897601600 = 8151^2 + 29960^2 .

It is not a de Polignac number, because 964040401 - 2³ = 964040393 is a prime.

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 964040401.

It is not an unprimeable number, because it can be changed into a prime (964040501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1893735 + ... + 1894243.

Almost surely, 2^964040401 is an apocalyptic number.

964040401 is the 31049-th square number.

964040401 is the 15525-th centered octagonal number.

It is an amenable number.

964040401 is a deficient number, since it is larger than the sum of its proper divisors (17992352).

964040401 is an frugal number, since it uses more digits than its factorization.

964040401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The cubic root of 964040401 is about 987.8668490349.

The spelling of 964040401 in words is "nine hundred sixty-four million, forty thousand, four hundred one".