193172480 has 88 divisors (see below), whose sum is σ = 479734920. Its totient is φ = 74547200.

The previous prime is 193172477. The next prime is 193172531. The reversal of 193172480 is 84271391.

It can be written as a sum of positive squares in 4 ways, for example, as 295936 + 192876544 = 544^2 + 13888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 193172480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147830 + ... + 149130.

Almost surely, 2^193172480 is an apocalyptic number.

193172480 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 193172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239867460).

193172480 is an abundant number, since it is smaller than the sum of its proper divisors (286562440).

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

193172480 is a wasteful number, since it uses less digits than its factorization.

193172480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 193172480 is about 13898.6502941832. The cubic root of 193172480 is about 578.0717574732.

The spelling of 193172480 in words is "one hundred ninety-three million, one hundred seventy-two thousand, four hundred eighty".