461442240 has 336 divisors, whose sum is σ = 1856305152. Its totient is φ = 103016448.

The previous prime is 461442217. The next prime is 461442253. The reversal of 461442240 is 42244164.

It is a happy number.

461442240 is a `hidden beast` number, since 4 + 614 + 4 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947277 + ... + 947763.

Almost surely, 2^461442240 is an apocalyptic number.

461442240 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 461442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928152576).

461442240 is an abundant number, since it is smaller than the sum of its proper divisors (1394862912).

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

461442240 is a wasteful number, since it uses less digits than its factorization.

461442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 461442240 is about 21481.2066700174. The cubic root of 461442240 is about 772.7501813236.

It can be divided in two parts, 46144 and 2240, that added together give a palindrome (48384).

The spelling of 461442240 in words is "four hundred sixty-one million, four hundred forty-two thousand, two hundred forty".