493122672 has 180 divisors, whose sum is σ = 1700221536. Its totient is φ = 132572160.

The previous prime is 493122629. The next prime is 493122701. The reversal of 493122672 is 276221394.

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 35 ways as a sum of consecutive naturals, for example, 117897 + ... + 122007.

Almost surely, 2^493122672 is an apocalyptic number.

493122672 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 493122672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850110768).

493122672 is an abundant number, since it is smaller than the sum of its proper divisors (1207098864).

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

493122672 is a wasteful number, since it uses less digits than its factorization.

493122672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156 (or 4140 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 493122672 is about 22206.3655738619. The cubic root of 493122672 is about 790.0446868916.

It can be divided in two parts, 49312 and 2672, that added together give a square (51984 = 228²).

The spelling of 493122672 in words is "four hundred ninety-three million, one hundred twenty-two thousand, six hundred seventy-two".