468166440 has 128 divisors (see below), whose sum is σ = 1616209920. Its totient is φ = 106272000.

The previous prime is 468166427. The next prime is 468166477. The reversal of 468166440 is 44661864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124995 + ... + 128685.

It is an arithmetic number, because the mean of its divisors is an integer number (12626640).

Almost surely, 2^468166440 is an apocalyptic number.

468166440 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 468166440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808104960).

468166440 is an abundant number, since it is smaller than the sum of its proper divisors (1148043480).

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

468166440 is a wasteful number, since it uses less digits than its factorization.

468166440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 468166440 is about 21637.1541566815. The cubic root of 468166440 is about 776.4856358965.

The spelling of 468166440 in words is "four hundred sixty-eight million, one hundred sixty-six thousand, four hundred forty".