462075768 has 144 divisors (see below), whose sum is σ = 1572283440. Its totient is φ = 120003840.

The previous prime is 462075767. The next prime is 462075769. The reversal of 462075768 is 867570264.

It is an interprime number because it is at equal distance from previous prime (462075767) and next prime (462075769).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462075767) 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 35 ways as a sum of consecutive naturals, for example, 57196 + ... + 64772.

It is an arithmetic number, because the mean of its divisors is an integer number (10918635).

Almost surely, 2^462075768 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 462075768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786141720).

462075768 is an abundant number, since it is smaller than the sum of its proper divisors (1110207672).

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

462075768 is a wasteful number, since it uses less digits than its factorization.

462075768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7618 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 462075768 is about 21495.9477111385. The cubic root of 462075768 is about 773.1036636317.

The spelling of 462075768 in words is "four hundred sixty-two million, seventy-five thousand, seven hundred sixty-eight".