493353672 has 64 divisors (see below), whose sum is σ = 1413540480. Its totient is φ = 140562432.

The previous prime is 493353661. The next prime is 493353683. The reversal of 493353672 is 276353394.

It is an interprime number because it is at equal distance from previous prime (493353661) and next prime (493353683).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58728 + ... + 66600.

It is an arithmetic number, because the mean of its divisors is an integer number (22086570).

Almost surely, 2^493353672 is an apocalyptic number.

493353672 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 493353672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706770240).

493353672 is an abundant number, since it is smaller than the sum of its proper divisors (920186808).

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

493353672 is a wasteful number, since it uses less digits than its factorization.

493353672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8262 (or 8258 counting only the distinct ones).

The product of its digits is 408240, while the sum is 42.

The square root of 493353672 is about 22211.5661762065. The cubic root of 493353672 is about 790.1680313408.

The spelling of 493353672 in words is "four hundred ninety-three million, three hundred fifty-three thousand, six hundred seventy-two".