468001840 has 80 divisors (see below), whose sum is σ = 1158729408. Its totient is φ = 175177728.

The previous prime is 468001837. The next prime is 468001873. The reversal of 468001840 is 48100864.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261589 + ... + 263371.

Almost surely, 2^468001840 is an apocalyptic number.

468001840 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 468001840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579364704).

468001840 is an abundant number, since it is smaller than the sum of its proper divisors (690727568).

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

468001840 is a wasteful number, since it uses less digits than its factorization.

468001840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 468001840 is about 21633.3501797572. The cubic root of 468001840 is about 776.3946251602.

The spelling of 468001840 in words is "four hundred sixty-eight million, one thousand, eight hundred forty".