461303400 has 96 divisors (see below), whose sum is σ = 1441202400. Its totient is φ = 122054400.

The previous prime is 461303393. The next prime is 461303407. The reversal of 461303400 is 4303164.

It is an interprime number because it is at equal distance from previous prime (461303393) and next prime (461303407).

It is not an unprimeable number, because it can be changed into a prime (461303407) 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 23 ways as a sum of consecutive naturals, for example, 75666 + ... + 81534.

It is an arithmetic number, because the mean of its divisors is an integer number (15012525).

Almost surely, 2^461303400 is an apocalyptic number.

461303400 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 461303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720601200).

461303400 is an abundant number, since it is smaller than the sum of its proper divisors (979899000).

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

461303400 is a wasteful number, since it uses less digits than its factorization.

461303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019 (or 6010 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 461303400 is about 21477.9747648609. The cubic root of 461303400 is about 772.6726711550.

Adding to 461303400 its reverse (4303164), we get a palindrome (465606564).

The spelling of 461303400 in words is "four hundred sixty-one million, three hundred three thousand, four hundred".