462341640 has 128 divisors (see below), whose sum is σ = 1440011520. Its totient is φ = 118656000.

The previous prime is 462341629. The next prime is 462341669. The reversal of 462341640 is 46143264.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 462341598 and 462341607.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 447925 + ... + 448955.

It is an arithmetic number, because the mean of its divisors is an integer number (11250090).

Almost surely, 2^462341640 is an apocalyptic number.

462341640 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 462341640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720005760).

462341640 is an abundant number, since it is smaller than the sum of its proper divisors (977669880).

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

462341640 is a wasteful number, since it uses less digits than its factorization.

462341640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 462341640 is about 21502.1310571766. The cubic root of 462341640 is about 773.2519129169.

It can be divided in two parts, 46234 and 1640, that added together give a palindrome (47874).

The spelling of 462341640 in words is "four hundred sixty-two million, three hundred forty-one thousand, six hundred forty".