468541440 has 336 divisors, whose sum is σ = 1717462656. Its totient is φ = 117964800.

The previous prime is 468541421. The next prime is 468541453. The reversal of 468541440 is 44145864.

It is a happy number.

468541440 is a `hidden beast` number, since 468 + 54 + 144 + 0 = 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 = 468541395 and 468541404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11427820 + ... + 11427860.

It is an arithmetic number, because the mean of its divisors is an integer number (5111496).

Almost surely, 2^468541440 is an apocalyptic number.

468541440 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 468541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858731328).

468541440 is an abundant number, since it is smaller than the sum of its proper divisors (1248921216).

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

468541440 is a wasteful number, since it uses less digits than its factorization.

468541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 468541440 is about 21645.8180718586. The cubic root of 468541440 is about 776.6929015025.

468541440 divided by its product of nonzero digits (61440) gives a triangular number (7626 = T₁₂₃).

The spelling of 468541440 in words is "four hundred sixty-eight million, five hundred forty-one thousand, four hundred forty".