189942480 has 360 divisors, whose sum is σ = 792949248. Its totient is φ = 39896064.

The previous prime is 189942469. The next prime is 189942517. The reversal of 189942480 is 84249981.

189942480 is a `hidden beast` number, since 1 + 89 + 94 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 851649 + ... + 851871.

Almost surely, 2^189942480 is an apocalyptic number.

189942480 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 189942480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396474624).

189942480 is an abundant number, since it is smaller than the sum of its proper divisors (603006768).

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

189942480 is a wasteful number, since it uses less digits than its factorization.

189942480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 189942480 is about 13781.9621244582. The cubic root of 189942480 is about 574.8316886077.

The spelling of 189942480 in words is "one hundred eighty-nine million, nine hundred forty-two thousand, four hundred eighty".