493151472 has 240 divisors, whose sum is σ = 1585898496. Its totient is φ = 142876800.

The previous prime is 493151459. The next prime is 493151473. The reversal of 493151472 is 274151394.

493151472 is a `hidden beast` number, since 49 + 31 + 514 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493151473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5941543 + ... + 5941625.

Almost surely, 2^493151472 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 493151472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792949248).

493151472 is an abundant number, since it is smaller than the sum of its proper divisors (1092747024).

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

493151472 is a wasteful number, since it uses less digits than its factorization.

493151472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 493151472 is about 22207.0140271041. The cubic root of 493151472 is about 790.0600670025.

The spelling of 493151472 in words is "four hundred ninety-three million, one hundred fifty-one thousand, four hundred seventy-two".