461228544 has 240 divisors, whose sum is σ = 1549067520. Its totient is φ = 129392640.

The previous prime is 461228543. The next prime is 461228563. The reversal of 461228544 is 445822164.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 461228499 and 461228508.

It is not an unprimeable number, because it can be changed into a prime (461228543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2548134 + ... + 2548314.

It is an arithmetic number, because the mean of its divisors is an integer number (6454448).

Almost surely, 2^461228544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461228544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774533760).

461228544 is an abundant number, since it is smaller than the sum of its proper divisors (1087838976).

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

461228544 is a wasteful number, since it uses less digits than its factorization.

461228544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 272 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 461228544 is about 21476.2320717578. The cubic root of 461228544 is about 772.6308748634.

The spelling of 461228544 in words is "four hundred sixty-one million, two hundred twenty-eight thousand, five hundred forty-four".