493722432 has 336 divisors, whose sum is σ = 1792955520. Its totient is φ = 132765696.

The previous prime is 493722409. The next prime is 493722469. The reversal of 493722432 is 234227394.

It is a happy number.

493722432 is a `hidden beast` number, since 49 + 372 + 243 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29042488 + ... + 29042504.

Almost surely, 2^493722432 is an apocalyptic number.

493722432 is a gapful number since it is divisible by the number (42) 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 493722432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896477760).

493722432 is an abundant number, since it is smaller than the sum of its proper divisors (1299233088).

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

493722432 is an frugal number, since it uses more digits than its factorization.

493722432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 29 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 493722432 is about 22219.8657061648. The cubic root of 493722432 is about 790.3648541689.

The spelling of 493722432 in words is "four hundred ninety-three million, seven hundred twenty-two thousand, four hundred thirty-two".