461129952 has 96 divisors (see below), whose sum is σ = 1256532480. Its totient is φ = 147962880.

The previous prime is 461129951. The next prime is 461129953. The reversal of 461129952 is 259921164.

It is an interprime number because it is at equal distance from previous prime (461129951) and next prime (461129953).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 461129952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461129951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310203 + ... + 311685.

It is an arithmetic number, because the mean of its divisors is an integer number (13088880).

Almost surely, 2^461129952 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 461129952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628266240).

461129952 is an abundant number, since it is smaller than the sum of its proper divisors (795402528).

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

461129952 is a wasteful number, since it uses less digits than its factorization.

461129952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1608 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 461129952 is about 21473.9365743685. The cubic root of 461129952 is about 772.5758185342.

The spelling of 461129952 in words is "four hundred sixty-one million, one hundred twenty-nine thousand, nine hundred fifty-two".