461665152 has 192 divisors, whose sum is σ = 1481407200. Its totient is φ = 137023488.

The previous prime is 461665151. The next prime is 461665153. The reversal of 461665152 is 251566164.

It is an interprime number because it is at equal distance from previous prime (461665151) and next prime (461665153).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461665151) 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, 433773 + ... + 434835.

Almost surely, 2^461665152 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 461665152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740703600).

461665152 is an abundant number, since it is smaller than the sum of its proper divisors (1019742048).

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

461665152 is a wasteful number, since it uses less digits than its factorization.

461665152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1110 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 461665152 is about 21486.3945788957. The cubic root of 461665152 is about 772.8745938310.

The spelling of 461665152 in words is "four hundred sixty-one million, six hundred sixty-five thousand, one hundred fifty-two".