418161601 has 25 divisors (see below), whose sum is σ = 498304805. Its totient is φ = 350904840.

The previous prime is 418161599. The next prime is 418161613. The reversal of 418161601 is 106161814.

The square root of 418161601 is 20449.

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

It can be written as a sum of positive squares in 2 ways, for example, as 207331201 + 210830400 = 14399^2 + 14520^2 .

It is not a de Polignac number, because 418161601 - 2¹ = 418161599 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 418161601.

It is not an unprimeable number, because it can be changed into a prime (418161661) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 32166271 + ... + 32166283.

Almost surely, 2^418161601 is an apocalyptic number.

418161601 is the 20449-th square number.

418161601 is the 10225-th centered octagonal number.

It is an amenable number.

418161601 is a deficient number, since it is larger than the sum of its proper divisors (80143204).

418161601 is an frugal number, since it uses more digits than its factorization.

418161601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The cubic root of 418161601 is about 747.7929790411.

The spelling of 418161601 in words is "four hundred eighteen million, one hundred sixty-one thousand, six hundred one".