462520992 has 96 divisors (see below), whose sum is σ = 1271047680. Its totient is φ = 147087360.

The previous prime is 462520987. The next prime is 462520997. The reversal of 462520992 is 299025264.

It is an interprime number because it is at equal distance from previous prime (462520987) and next prime (462520997).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 462520992.

It is not an unprimeable number, because it can be changed into a prime (462520997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216184 + ... + 218312.

It is an arithmetic number, because the mean of its divisors is an integer number (13240080).

Almost surely, 2^462520992 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 462520992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635523840).

462520992 is an abundant number, since it is smaller than the sum of its proper divisors (808526688).

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

462520992 is a wasteful number, since it uses less digits than its factorization.

462520992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 462520992 is about 21506.3012161552. The cubic root of 462520992 is about 773.3518868583.

The spelling of 462520992 in words is "four hundred sixty-two million, five hundred twenty thousand, nine hundred ninety-two".