359140401 has 9 divisors (see below), whose sum is σ = 518840491. Its totient is φ = 239389032.

The previous prime is 359140391. The next prime is 359140417. The reversal of 359140401 is 104041953.

The square root of 359140401 is 18951.

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

It can be written as a sum of positive squares in only one way, i.e., 193349025 + 165791376 = 13905^2 + 12876^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 359140401 - 2⁷ = 359140273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (359140421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53695 + ... + 60011.

Almost surely, 2^359140401 is an apocalyptic number.

359140401 is the 18951-st square number.

359140401 is the 9476-th centered octagonal number.

It is an amenable number.

359140401 is a deficient number, since it is larger than the sum of its proper divisors (159700090).

359140401 is an frugal number, since it uses more digits than its factorization.

359140401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12640 (or 6320 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 359140401 is about 710.8120055826.

The spelling of 359140401 in words is "three hundred fifty-nine million, one hundred forty thousand, four hundred one".