464762368 has 80 divisors (see below), whose sum is σ = 1072431360. Its totient is φ = 197093376.

The previous prime is 464762341. The next prime is 464762369. The reversal of 464762368 is 863267464.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464762369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368523 + ... + 369781.

It is an arithmetic number, because the mean of its divisors is an integer number (13405392).

Almost surely, 2^464762368 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 464762368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536215680).

464762368 is an abundant number, since it is smaller than the sum of its proper divisors (607668992).

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

464762368 is a wasteful number, since it uses less digits than its factorization.

464762368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1371 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 46.

The square root of 464762368 is about 21558.3479886563. The cubic root of 464762368 is about 774.5990950423.

It can be divided in two parts, 464762 and 368, that added together give a triangular number (465130 = T₉₆₄).

The spelling of 464762368 in words is "four hundred sixty-four million, seven hundred sixty-two thousand, three hundred sixty-eight".