86400468 has 144 divisors (see below), whose sum is σ = 276756480. Its totient is φ = 22075200.

The previous prime is 86400463. The next prime is 86400469.

86400468 is a `hidden beast` number, since 8 + 640 + 0 + 4 + 6 + 8 = 666.

86400468 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×86400468³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86400463) 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, 196593 + ... + 197031.

It is an arithmetic number, because the mean of its divisors is an integer number (1921920).

Almost surely, 2^86400468 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 86400468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138378240).

86400468 is an abundant number, since it is smaller than the sum of its proper divisors (190356012).

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

86400468 is a wasteful number, since it uses less digits than its factorization.

86400468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 86400468 is about 9295.1852052555. The cubic root of 86400468 is about 442.0845780422.

It can be divided in two parts, 86400 and 468, that added together give a palindrome (86868).

The spelling of 86400468 in words is "eighty-six million, four hundred thousand, four hundred sixty-eight".