461513152 has 56 divisors (see below), whose sum is σ = 951479936. Its totient is φ = 221937408.

The previous prime is 461513141. The next prime is 461513159. The reversal of 461513152 is 251315164.

It is a self number, because there is not a number n which added to its sum of digits gives 461513152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461513159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183133 + ... + 185635.

Almost surely, 2^461513152 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 461513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475739968).

461513152 is an abundant number, since it is smaller than the sum of its proper divisors (489966784).

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

461513152 is a wasteful number, since it uses less digits than its factorization.

461513152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2625 (or 2615 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

The square root of 461513152 is about 21482.8571656565. The cubic root of 461513152 is about 772.7897633480.

The spelling of 461513152 in words is "four hundred sixty-one million, five hundred thirteen thousand, one hundred fifty-two".