461226304 has 112 divisors (see below), whose sum is σ = 1149803136. Its totient is φ = 178329600.

The previous prime is 461226289. The next prime is 461226313. The reversal of 461226304 is 403622164.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 852274 + ... + 852814.

Almost surely, 2^461226304 is an apocalyptic number.

461226304 is a gapful number since it is divisible by the number (44) 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 461226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574901568).

461226304 is an abundant number, since it is smaller than the sum of its proper divisors (688576832).

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

461226304 is a wasteful number, since it uses less digits than its factorization.

461226304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 461226304 is about 21476.1799210195. The cubic root of 461226304 is about 772.6296240764.

Adding to 461226304 its reverse (403622164), we get a palindrome (864848468).

The spelling of 461226304 in words is "four hundred sixty-one million, two hundred twenty-six thousand, three hundred four".