468095540 has 96 divisors (see below), whose sum is σ = 1134120960. Its totient is φ = 160617600.

The previous prime is 468095501. The next prime is 468095581. The reversal of 468095540 is 45590864.

It is a happy number.

It is a super-2 number, since 2×468095540² = 438226869135783200, which contains 22 as substring.

It is a congruent number.

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, 399155 + ... + 400325.

It is an arithmetic number, because the mean of its divisors is an integer number (11813760).

Almost surely, 2^468095540 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 468095540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567060480).

468095540 is an abundant number, since it is smaller than the sum of its proper divisors (666025420).

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

468095540 is a wasteful number, since it uses less digits than its factorization.

468095540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 468095540 is about 21635.5157091297. The cubic root of 468095540 is about 776.4464364393.

The spelling of 468095540 in words is "four hundred sixty-eight million, ninety-five thousand, five hundred forty".