464166252 has 72 divisors (see below), whose sum is σ = 1309788480. Its totient is φ = 137380320.

The previous prime is 464166251. The next prime is 464166253. The reversal of 464166252 is 252661464.

464166252 is a `hidden beast` number, since 4 + 641 + 6 + 6 + 2 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (464166251) and next prime (464166253).

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

It is not an unprimeable number, because it can be changed into a prime (464166251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3399 + ... + 30657.

Almost surely, 2^464166252 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 464166252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654894240).

464166252 is an abundant number, since it is smaller than the sum of its proper divisors (845622228).

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

464166252 is a wasteful number, since it uses less digits than its factorization.

464166252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27323 (or 27318 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 464166252 is about 21544.5179105962. The cubic root of 464166252 is about 774.2677798695.

The spelling of 464166252 in words is "four hundred sixty-four million, one hundred sixty-six thousand, two hundred fifty-two".