465683813040 has 160 divisors (see below), whose sum is σ = 1467509376960. Its totient is φ = 122143997952.

The previous prime is 465683813039. The next prime is 465683813047. The reversal of 465683813040 is 40318386564.

It is a super-2 number, since 2×465683813040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (465683813047) 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 31 ways as a sum of consecutive naturals, for example, 3518952 + ... + 3648888.

It is an arithmetic number, because the mean of its divisors is an integer number (9171933606).

Almost surely, 2^465683813040 is an apocalyptic number.

465683813040 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 465683813040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733754688480).

465683813040 is an abundant number, since it is smaller than the sum of its proper divisors (1001825563920).

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

465683813040 is a wasteful number, since it uses less digits than its factorization.

465683813040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130199 (or 130193 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 465683813040 in words is "four hundred sixty-five billion, six hundred eighty-three million, eight hundred thirteen thousand, forty".