462300552 has 192 divisors, whose sum is σ = 1572480000. Its totient is φ = 119636352.

The previous prime is 462300547. The next prime is 462300557. The reversal of 462300552 is 255003264.

It is an interprime number because it is at equal distance from previous prime (462300547) and next prime (462300557).

It is not an unprimeable number, because it can be changed into a prime (462300557) 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, 219199 + ... + 221297.

It is an arithmetic number, because the mean of its divisors is an integer number (8190000).

Almost surely, 2^462300552 is an apocalyptic number.

462300552 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 462300552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240000).

462300552 is an abundant number, since it is smaller than the sum of its proper divisors (1110179448).

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

462300552 is a wasteful number, since it uses less digits than its factorization.

462300552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 462300552 is about 21501.1755957669. The cubic root of 462300552 is about 773.2290061073.

The spelling of 462300552 in words is "four hundred sixty-two million, three hundred thousand, five hundred fifty-two".