464289852 has 144 divisors (see below), whose sum is σ = 1276759680. Its totient is φ = 130170240.

The previous prime is 464289841. The next prime is 464289857. The reversal of 464289852 is 258982464.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464289857) 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 47 ways as a sum of consecutive naturals, for example, 2848323 + ... + 2848485.

Almost surely, 2^464289852 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 464289852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638379840).

464289852 is an abundant number, since it is smaller than the sum of its proper divisors (812469828).

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

464289852 is a wasteful number, since it uses less digits than its factorization.

464289852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 231 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 464289852 is about 21547.3861987945. The cubic root of 464289852 is about 774.3364987851.

It can be divided in two parts, 46428 and 9852, that added together give a triangular number (56280 = T₃₃₅).

The spelling of 464289852 in words is "four hundred sixty-four million, two hundred eighty-nine thousand, eight hundred fifty-two".