468115200 has 648 divisors, whose sum is σ = 2029675648. Its totient is φ = 104509440.

The previous prime is 468115189. The next prime is 468115229. The reversal of 468115200 is 2511864.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10886379 + ... + 10886421.

Almost surely, 2^468115200 is an apocalyptic number.

468115200 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 468115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014837824).

468115200 is an abundant number, since it is smaller than the sum of its proper divisors (1561560448).

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

468115200 is an equidigital number, since it uses as much as digits as its factorization.

468115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 468115200 is about 21635.9700498961. The cubic root of 468115200 is about 776.4573065302.

It can be divided in two parts, 4681 and 15200, that added together give a square (19881 = 141²).

The spelling of 468115200 in words is "four hundred sixty-eight million, one hundred fifteen thousand, two hundred".