189051408 has 300 divisors, whose sum is σ = 688458540. Its totient is φ = 49641984.

The previous prime is 189051347. The next prime is 189051409. The reversal of 189051408 is 804150981.

It can be written as a sum of positive squares in 2 ways, for example, as 106750224 + 82301184 = 10332^2 + 9072^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (189051409) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 825438 + ... + 825666.

Almost surely, 2^189051408 is an apocalyptic number.

189051408 is a gapful number since it is divisible by the number (18) 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 189051408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344229270).

189051408 is an abundant number, since it is smaller than the sum of its proper divisors (499407132).

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

189051408 is a wasteful number, since it uses less digits than its factorization.

189051408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 254 counting only the distinct ones).

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

The square root of 189051408 is about 13749.5966486294. The cubic root of 189051408 is about 573.9313818431.

The spelling of 189051408 in words is "one hundred eighty-nine million, fifty-one thousand, four hundred eight".