493953372 has 72 divisors (see below), whose sum is σ = 1365541632. Its totient is φ = 149306400.

The previous prime is 493953331. The next prime is 493953373. The reversal of 493953372 is 273359394.

493953372 is a `hidden beast` number, since 49 + 3 + 9 + 533 + 72 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493953373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183597 + ... + 186267.

It is an arithmetic number, because the mean of its divisors is an integer number (18965856).

Almost surely, 2^493953372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493953372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682770816).

493953372 is an abundant number, since it is smaller than the sum of its proper divisors (871588260).

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

493953372 is a wasteful number, since it uses less digits than its factorization.

493953372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159 (or 3154 counting only the distinct ones).

The product of its digits is 612360, while the sum is 45.

The square root of 493953372 is about 22225.0617996891. The cubic root of 493953372 is about 790.4880667244.

It can be divided in two parts, 4939 and 53372, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 493953372 in words is "four hundred ninety-three million, nine hundred fifty-three thousand, three hundred seventy-two".