462546640 has 80 divisors (see below), whose sum is σ = 1139212800. Its totient is φ = 174168576.

The previous prime is 462546631. The next prime is 462546647. The reversal of 462546640 is 46645264.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 462546640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462546647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262081 + ... + 263839.

It is an arithmetic number, because the mean of its divisors is an integer number (14240160).

Almost surely, 2^462546640 is an apocalyptic number.

462546640 is a gapful number since it is divisible by the number (40) 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 462546640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569606400).

462546640 is an abundant number, since it is smaller than the sum of its proper divisors (676666160).

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

462546640 is a wasteful number, since it uses less digits than its factorization.

462546640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The square root of 462546640 is about 21506.8974982446. The cubic root of 462546640 is about 773.3661813898.

The spelling of 462546640 in words is "four hundred sixty-two million, five hundred forty-six thousand, six hundred forty".