460236240 has 240 divisors, whose sum is σ = 1723550400. Its totient is φ = 109375488.

The previous prime is 460236197. The next prime is 460236241. The reversal of 460236240 is 42632064.

460236240 is a `hidden beast` number, since 4 + 602 + 36 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460236241) 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, 231571 + ... + 233549.

It is an arithmetic number, because the mean of its divisors is an integer number (7181460).

Almost surely, 2^460236240 is an apocalyptic number.

460236240 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 460236240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861775200).

460236240 is an abundant number, since it is smaller than the sum of its proper divisors (1263314160).

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

460236240 is a wasteful number, since it uses less digits than its factorization.

460236240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 460236240 is about 21453.1172560073. The cubic root of 460236240 is about 772.0763882282.

The spelling of 460236240 in words is "four hundred sixty million, two hundred thirty-six thousand, two hundred forty".