468607140 has 96 divisors (see below), whose sum is σ = 1469583360. Its totient is φ = 123959808.

The previous prime is 468607133. The next prime is 468607187. The reversal of 468607140 is 41706864.

468607140 is a `hidden beast` number, since 4 + 6 + 8 + 607 + 1 + 40 = 666.

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 = 468607095 and 468607104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65164 + ... + 71996.

It is an arithmetic number, because the mean of its divisors is an integer number (15308160).

Almost surely, 2^468607140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468607140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734791680).

468607140 is an abundant number, since it is smaller than the sum of its proper divisors (1000976220).

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

468607140 is a wasteful number, since it uses less digits than its factorization.

468607140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6978 (or 6970 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 468607140 is about 21647.3356328210. The cubic root of 468607140 is about 776.7292030504.

The spelling of 468607140 in words is "four hundred sixty-eight million, six hundred seven thousand, one hundred forty".