193432464 has 135 divisors (see below), whose sum is σ = 580853169. Its totient is φ = 60082560.

The previous prime is 193432441. The next prime is 193432469. The reversal of 193432464 is 464234391.

It is a happy number.

The square root of 193432464 is 13908.

It is a perfect power (a square), and thus also a powerful number.

193432464 is a `hidden beast` number, since 193 + 4 + 3 + 2 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6290064 + 187142400 = 2508^2 + 13680^2 .

It is a super-2 number, since 2×193432464² = 74832236258222592, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (193432469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3170994 + ... + 3171054.

Almost surely, 2^193432464 is an apocalyptic number.

193432464 is the 13908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193432464

193432464 is an abundant number, since it is smaller than the sum of its proper divisors (387420705).

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

193432464 is a wasteful number, since it uses less digits than its factorization.

193432464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 85 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The cubic root of 193432464 is about 578.3309766523.

Multiplying 193432464 by its sum of digits (36), we get a square (6963568704 = 83448²).

193432464 divided by its sum of digits (36) gives a square (5373124 = 2318²).

The spelling of 193432464 in words is "one hundred ninety-three million, four hundred thirty-two thousand, four hundred sixty-four".