164458401 has 16 divisors (see below), whose sum is σ = 224781888. Its totient is φ = 106920000.

The previous prime is 164458397. The next prime is 164458453. The reversal of 164458401 is 104854461.

It is not a de Polignac number, because 164458401 - 2² = 164458397 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164459401) 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, 16251 + ... + 24351.

It is an arithmetic number, because the mean of its divisors is an integer number (14048868).

Almost surely, 2^164458401 is an apocalyptic number.

It is an amenable number.

164458401 is a deficient number, since it is larger than the sum of its proper divisors (60323487).

164458401 is a wasteful number, since it uses less digits than its factorization.

164458401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8272.

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 164458401 is about 12824.1335379822. The cubic root of 164458401 is about 547.8798831429.

The spelling of 164458401 in words is "one hundred sixty-four million, four hundred fifty-eight thousand, four hundred one".