468460240 has 20 divisors (see below), whose sum is σ = 1089170244. Its totient is φ = 187384064.

The previous prime is 468460193. The next prime is 468460253. The reversal of 468460240 is 42064864.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 277688896 + 190771344 = 16664^2 + 13812^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 468460196 and 468460205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2927797 + ... + 2927956.

Almost surely, 2^468460240 is an apocalyptic number.

468460240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468460240 is an abundant number, since it is smaller than the sum of its proper divisors (620710004).

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

468460240 is a wasteful number, since it uses less digits than its factorization.

468460240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5855766 (or 5855760 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 468460240 is about 21643.9423396016. The cubic root of 468460240 is about 776.6480309732.

The spelling of 468460240 in words is "four hundred sixty-eight million, four hundred sixty thousand, two hundred forty".