468835920 has 360 divisors, whose sum is σ = 1863958824. Its totient is φ = 105283584.

The previous prime is 468835907. The next prime is 468835931. The reversal of 468835920 is 29538864.

It can be written as a sum of positive squares in 4 ways, for example, as 52186176 + 416649744 = 7224^2 + 20412^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 3422092 + ... + 3422228.

Almost surely, 2^468835920 is an apocalyptic number.

468835920 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 468835920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931979412).

468835920 is an abundant number, since it is smaller than the sum of its proper divisors (1395122904).

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

468835920 is a wasteful number, since it uses less digits than its factorization.

468835920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 468835920 is about 21652.6192410988. The cubic root of 468835920 is about 776.8555855297.

The spelling of 468835920 in words is "four hundred sixty-eight million, eight hundred thirty-five thousand, nine hundred twenty".