18958401 has 48 divisors (see below), whose sum is σ = 35324800. Its totient is φ = 9836640.

The previous prime is 18958369. The next prime is 18958403. The reversal of 18958401 is 10485981.

It is not a de Polignac number, because 18958401 - 2⁵ = 18958369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (18958403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22455 + ... + 23283.

Almost surely, 2^18958401 is an apocalyptic number.

18958401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

18958401 is a deficient number, since it is larger than the sum of its proper divisors (16366399).

18958401 is a wasteful number, since it uses less digits than its factorization.

18958401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 18958401 is about 4354.1245962880. The cubic root of 18958401 is about 266.6452807502.

It can be divided in two parts, 1895 and 8401, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 18958401 in words is "eighteen million, nine hundred fifty-eight thousand, four hundred one".