461566240 has 96 divisors (see below), whose sum is σ = 1156680000. Its totient is φ = 173564928.

The previous prime is 461566213. The next prime is 461566253. The reversal of 461566240 is 42665164.

It is a junction number, because it is equal to n+sod(n) for n = 461566196 and 461566205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452451 + ... + 453469.

It is an arithmetic number, because the mean of its divisors is an integer number (12048750).

Almost surely, 2^461566240 is an apocalyptic number.

461566240 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 461566240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578340000).

461566240 is an abundant number, since it is smaller than the sum of its proper divisors (695113760).

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

461566240 is a wasteful number, since it uses less digits than its factorization.

461566240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 461566240 is about 21484.0927199638. The cubic root of 461566240 is about 772.8193936268.

The spelling of 461566240 in words is "four hundred sixty-one million, five hundred sixty-six thousand, two hundred forty".