468153840 has 480 divisors, whose sum is σ = 1899878400. Its totient is φ = 95208960.

The previous prime is 468153839. The next prime is 468153869. The reversal of 468153840 is 48351864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9960697 + ... + 9960743.

It is an arithmetic number, because the mean of its divisors is an integer number (3958080).

Almost surely, 2^468153840 is an apocalyptic number.

468153840 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 468153840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949939200).

468153840 is an abundant number, since it is smaller than the sum of its proper divisors (1431724560).

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

468153840 is a wasteful number, since it uses less digits than its factorization.

468153840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 468153840 is about 21636.8629888900. The cubic root of 468153840 is about 776.4786698505.

The spelling of 468153840 in words is "four hundred sixty-eight million, one hundred fifty-three thousand, eight hundred forty".