18401952 has 48 divisors (see below), whose sum is σ = 49043232. Its totient is φ = 6040320.

The previous prime is 18401927. The next prime is 18401953. The reversal of 18401952 is 25910481.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (18401953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5002 + ... + 7862.

It is an arithmetic number, because the mean of its divisors is an integer number (1021734).

Almost surely, 2^18401952 is an apocalyptic number.

18401952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18401952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24521616).

18401952 is an abundant number, since it is smaller than the sum of its proper divisors (30641280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18401952 is a wasteful number, since it uses less digits than its factorization.

18401952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 18401952 is about 4289.7496430445. The cubic root of 18401952 is about 264.0105597245.

The spelling of 18401952 in words is "eighteen million, four hundred one thousand, nine hundred fifty-two".