191948400 has 240 divisors, whose sum is σ = 781100800. Its totient is φ = 43856640.

The previous prime is 191948381. The next prime is 191948401. The reversal of 191948400 is 4849191.

191948400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191948401) 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, 74331 + ... + 76869.

Almost surely, 2^191948400 is an apocalyptic number.

191948400 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 191948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390550400).

191948400 is an abundant number, since it is smaller than the sum of its proper divisors (589152400).

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

191948400 is a wasteful number, since it uses less digits than its factorization.

191948400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 191948400 is about 13854.5443808160. The cubic root of 191948400 is about 576.8481428829.

The spelling of 191948400 in words is "one hundred ninety-one million, nine hundred forty-eight thousand, four hundred".