189900480 has 336 divisors, whose sum is σ = 767218176. Its totient is φ = 39352320.

The previous prime is 189900461. The next prime is 189900481. The reversal of 189900480 is 84009981.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (189900481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517257 + ... + 517623.

Almost surely, 2^189900480 is an apocalyptic number.

189900480 is a gapful number since it is divisible by the number (10) 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 189900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383609088).

189900480 is an abundant number, since it is smaller than the sum of its proper divisors (577317696).

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

189900480 is a wasteful number, since it uses less digits than its factorization.

189900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 189900480 is about 13780.4383094298. The cubic root of 189900480 is about 574.7893166386.

The spelling of 189900480 in words is "one hundred eighty-nine million, nine hundred thousand, four hundred eighty".