193140480 has 288 divisors, whose sum is σ = 686097216. Its totient is φ = 46006272.

The previous prime is 193140449. The next prime is 193140517. The reversal of 193140480 is 84041391.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2645724 + ... + 2645796.

It is an arithmetic number, because the mean of its divisors is an integer number (2382282).

Almost surely, 2^193140480 is an apocalyptic number.

193140480 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 193140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343048608).

193140480 is an abundant number, since it is smaller than the sum of its proper divisors (492956736).

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

193140480 is a wasteful number, since it uses less digits than its factorization.

193140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 193140480 is about 13897.4990555855. The cubic root of 193140480 is about 578.0398355387.

The spelling of 193140480 in words is "one hundred ninety-three million, one hundred forty thousand, four hundred eighty".