193482240 has 320 divisors, whose sum is σ = 730667520. Its totient is φ = 42762240.

The previous prime is 193482217. The next prime is 193482251. The reversal of 193482240 is 42284391.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3171810 + ... + 3171870.

It is an arithmetic number, because the mean of its divisors is an integer number (2283336).

Almost surely, 2^193482240 is an apocalyptic number.

193482240 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 193482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365333760).

193482240 is an abundant number, since it is smaller than the sum of its proper divisors (537185280).

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

193482240 is an equidigital number, since it uses as much as digits as its factorization.

193482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 193482240 is about 13909.7893585776. The cubic root of 193482240 is about 578.3805797252.

The spelling of 193482240 in words is "one hundred ninety-three million, four hundred eighty-two thousand, two hundred forty".