461438020400 has 240 divisors, whose sum is σ = 1350554035200. Its totient is φ = 147982049280.

The previous prime is 461438020397. The next prime is 461438020403. The reversal of 461438020400 is 4020834164.

It is an interprime number because it is at equal distance from previous prime (461438020397) and next prime (461438020403).

It is not an unprimeable number, because it can be changed into a prime (461438020403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4147904 + ... + 4257696.

It is an arithmetic number, because the mean of its divisors is an integer number (5627308480).

Almost surely, 2^461438020400 is an apocalyptic number.

461438020400 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 461438020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675277017600).

461438020400 is an abundant number, since it is smaller than the sum of its proper divisors (889116014800).

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

461438020400 is a wasteful number, since it uses less digits than its factorization.

461438020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109916 (or 109905 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 461438020400 its reverse (4020834164), we get a palindrome (465458854564).

The spelling of 461438020400 in words is "four hundred sixty-one billion, four hundred thirty-eight million, twenty thousand, four hundred".