468459040 has 96 divisors (see below), whose sum is σ = 1308545280. Its totient is φ = 155065344.

The previous prime is 468459029. The next prime is 468459049. The reversal of 468459040 is 40954864.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 468458984 and 468459002.

It is not an unprimeable number, because it can be changed into a prime (468459049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25269 + ... + 39691.

It is an arithmetic number, because the mean of its divisors is an integer number (13630680).

Almost surely, 2^468459040 is an apocalyptic number.

468459040 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 468459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654272640).

468459040 is an abundant number, since it is smaller than the sum of its proper divisors (840086240).

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

468459040 is a wasteful number, since it uses less digits than its factorization.

468459040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14474 (or 14466 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 468459040 is about 21643.9146182016. The cubic root of 468459040 is about 776.6473678230.

The spelling of 468459040 in words is "four hundred sixty-eight million, four hundred fifty-nine thousand, forty".