464431212 has 288 divisors, whose sum is σ = 1532160000. Its totient is φ = 120839040.

The previous prime is 464431199. The next prime is 464431213. The reversal of 464431212 is 212134464.

It is a happy number.

464431212 is a `hidden beast` number, since 4 + 6 + 443 + 1 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464431213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3116914 + ... + 3117062.

It is an arithmetic number, because the mean of its divisors is an integer number (5320000).

Almost surely, 2^464431212 is an apocalyptic number.

464431212 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 464431212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766080000).

464431212 is an abundant number, since it is smaller than the sum of its proper divisors (1067728788).

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

464431212 is a wasteful number, since it uses less digits than its factorization.

464431212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 464431212 is about 21550.6661613974. Note that the first 3 decimals coincide. The cubic root of 464431212 is about 774.4150769261.

Adding to 464431212 its reverse (212134464), we get a palindrome (676565676).

The spelling of 464431212 in words is "four hundred sixty-four million, four hundred thirty-one thousand, two hundred twelve".