461382152 has 64 divisors (see below), whose sum is σ = 1081175040. Its totient is φ = 179323200.

The previous prime is 461382151. The next prime is 461382203. The reversal of 461382152 is 251283164.

It is a super-2 number, since 2×461382152² = 425746980368302208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (461382151) 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, 388103 + ... + 389289.

It is an arithmetic number, because the mean of its divisors is an integer number (16893360).

Almost surely, 2^461382152 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 461382152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540587520).

461382152 is an abundant number, since it is smaller than the sum of its proper divisors (619792888).

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

461382152 is a wasteful number, since it uses less digits than its factorization.

461382152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1838 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 461382152 is about 21479.8080065907. The cubic root of 461382152 is about 772.7166379210.

The spelling of 461382152 in words is "four hundred sixty-one million, three hundred eighty-two thousand, one hundred fifty-two".