468699840 has 336 divisors, whose sum is σ = 1875324672. Its totient is φ = 105228288.

The previous prime is 468699821. The next prime is 468699853. The reversal of 468699840 is 48996864.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 1350547 + ... + 1350893.

Almost surely, 2^468699840 is an apocalyptic number.

468699840 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 468699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937662336).

468699840 is an abundant number, since it is smaller than the sum of its proper divisors (1406624832).

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

468699840 is a wasteful number, since it uses less digits than its factorization.

468699840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 468699840 is about 21649.4766680398. The cubic root of 468699840 is about 776.7804172721.

The spelling of 468699840 in words is "four hundred sixty-eight million, six hundred ninety-nine thousand, eight hundred forty".