461352960 has 156 divisors (see below), whose sum is σ = 1599800592. Its totient is φ = 122978304.

The previous prime is 461352937. The next prime is 461352961. The reversal of 461352960 is 69253164.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (461352961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183069 + ... + 185571.

It is an arithmetic number, because the mean of its divisors is an integer number (10255132).

Almost surely, 2^461352960 is an apocalyptic number.

461352960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799900296).

461352960 is an abundant number, since it is smaller than the sum of its proper divisors (1138447632).

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

461352960 is a wasteful number, since it uses less digits than its factorization.

461352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 461352960 is about 21479.1284739395. The cubic root of 461352960 is about 772.7003407873.

The spelling of 461352960 in words is "four hundred sixty-one million, three hundred fifty-two thousand, nine hundred sixty".