168458472 has 144 divisors (see below), whose sum is σ = 571711140. Its totient is φ = 44416512.

The previous prime is 168458471. The next prime is 168458483. The reversal of 168458472 is 274854861.

168458472 is a `hidden beast` number, since 1 + 68 + 4 + 584 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 135349956 + 33108516 = 11634^2 + 5754^2 .

It is not an unprimeable number, because it can be changed into a prime (168458471) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44028 + ... + 47700.

Almost surely, 2^168458472 is an apocalyptic number.

168458472 is a gapful number since it is divisible by the number (12) 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 168458472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285855570).

168458472 is an abundant number, since it is smaller than the sum of its proper divisors (403252668).

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

168458472 is a wasteful number, since it uses less digits than its factorization.

168458472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3698 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 168458472 is about 12979.1552883845. The cubic root of 168458472 is about 552.2863196407.

The spelling of 168458472 in words is "one hundred sixty-eight million, four hundred fifty-eight thousand, four hundred seventy-two".