193342464 has 308 divisors, whose sum is σ = 680160784. Its totient is φ = 53747712.

The previous prime is 193342451. The next prime is 193342481. The reversal of 193342464 is 464243391.

It is a happy number.

193342464 is a `hidden beast` number, since 193 + 3 + 4 + 2 + 464 = 666.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5225454 + ... + 5225490.

Almost surely, 2^193342464 is an apocalyptic number.

193342464 is a gapful number since it is divisible by the number (14) 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 193342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340080392).

193342464 is an abundant number, since it is smaller than the sum of its proper divisors (486818320).

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

193342464 is an frugal number, since it uses more digits than its factorization.

193342464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

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

The square root of 193342464 is about 13904.7640756685. The cubic root of 193342464 is about 578.2412677147.

The spelling of 193342464 in words is "one hundred ninety-three million, three hundred forty-two thousand, four hundred sixty-four".