464349312 has 192 divisors, whose sum is σ = 1546646400. Its totient is φ = 130977792.

The previous prime is 464349299. The next prime is 464349317. The reversal of 464349312 is 213943464.

It is a happy number.

464349312 is a `hidden beast` number, since 4 + 643 + 4 + 9 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 not an unprimeable number, because it can be changed into a prime (464349317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 717373 + ... + 718019.

It is an arithmetic number, because the mean of its divisors is an integer number (8055450).

Almost surely, 2^464349312 is an apocalyptic number.

464349312 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 464349312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773323200).

464349312 is an abundant number, since it is smaller than the sum of its proper divisors (1082297088).

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

464349312 is a wasteful number, since it uses less digits than its factorization.

464349312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 748 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 464349312 is about 21548.7659043389. The cubic root of 464349312 is about 774.3695529090.

The spelling of 464349312 in words is "four hundred sixty-four million, three hundred forty-nine thousand, three hundred twelve".