189977400 has 168 divisors, whose sum is σ = 662751480. Its totient is φ = 50621760.

The previous prime is 189977377. The next prime is 189977407. The reversal of 189977400 is 4779981.

189977400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×189977400³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189977407) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 145149 + ... + 146451.

Almost surely, 2^189977400 is an apocalyptic number.

189977400 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 189977400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331375740).

189977400 is an abundant number, since it is smaller than the sum of its proper divisors (472774080).

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

189977400 is a wasteful number, since it uses less digits than its factorization.

189977400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 189977400 is about 13783.2289395482. The cubic root of 189977400 is about 574.8669131180.

The spelling of 189977400 in words is "one hundred eighty-nine million, nine hundred seventy-seven thousand, four hundred".