461766240 has 288 divisors, whose sum is σ = 1798052256. Its totient is φ = 106905600.

The previous prime is 461766233. The next prime is 461766241. The reversal of 461766240 is 42667164.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 461766195 and 461766204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461766241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317515 + ... + 318965.

It is an arithmetic number, because the mean of its divisors is an integer number (6243237).

Almost surely, 2^461766240 is an apocalyptic number.

461766240 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 461766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899026128).

461766240 is an abundant number, since it is smaller than the sum of its proper divisors (1336286016).

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

461766240 is a wasteful number, since it uses less digits than its factorization.

461766240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 461766240 is about 21488.7468224650. The cubic root of 461766240 is about 772.9310002581.

The spelling of 461766240 in words is "four hundred sixty-one million, seven hundred sixty-six thousand, two hundred forty".