189485952 has 64 divisors (see below), whose sum is σ = 514080000. Its totient is φ = 61812224.

The previous prime is 189485941. The next prime is 189485957. The reversal of 189485952 is 259584981.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 189485895 and 189485904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189485957) 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, 12799 + ... + 23297.

It is an arithmetic number, because the mean of its divisors is an integer number (8032500).

Almost surely, 2^189485952 is an apocalyptic number.

189485952 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 189485952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257040000).

189485952 is an abundant number, since it is smaller than the sum of its proper divisors (324594048).

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

189485952 is a wasteful number, since it uses less digits than its factorization.

189485952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10563 (or 10551 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 51.

The square root of 189485952 is about 13765.3896421424. The cubic root of 189485952 is about 574.3707818979.

The spelling of 189485952 in words is "one hundred eighty-nine million, four hundred eighty-five thousand, nine hundred fifty-two".