462906711040 has 88 divisors (see below), whose sum is σ = 1120622453280. Its totient is φ = 183463723008.

The previous prime is 462906711037. The next prime is 462906711041. The reversal of 462906711040 is 40117609264.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 462906710984 and 462906711002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462906711041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143349 + ... + 972811.

It is an arithmetic number, because the mean of its divisors is an integer number (12734346060).

Almost surely, 2^462906711040 is an apocalyptic number.

462906711040 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 462906711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560311226640).

462906711040 is an abundant number, since it is smaller than the sum of its proper divisors (657715742240).

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

462906711040 is a wasteful number, since it uses less digits than its factorization.

462906711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829597 (or 829579 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 462906711040 in words is "four hundred sixty-two billion, nine hundred six million, seven hundred eleven thousand, forty".