461753028 has 96 divisors (see below), whose sum is σ = 1313262720. Its totient is φ = 139144320.

The previous prime is 461753023. The next prime is 461753041. The reversal of 461753028 is 820357164.

461753028 is a `hidden beast` number, since 4 + 617 + 5 + 30 + 2 + 8 = 666.

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 = 461752983 and 461753001.

It is not an unprimeable number, because it can be changed into a prime (461753023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233050 + ... + 235022.

It is an arithmetic number, because the mean of its divisors is an integer number (13679820).

Almost surely, 2^461753028 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 461753028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656631360).

461753028 is an abundant number, since it is smaller than the sum of its proper divisors (851509692).

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

461753028 is a wasteful number, since it uses less digits than its factorization.

461753028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 461753028 is about 21488.4394035491. The cubic root of 461753028 is about 772.9236285182.

The spelling of 461753028 in words is "four hundred sixty-one million, seven hundred fifty-three thousand, twenty-eight".