468007200 has 288 divisors, whose sum is σ = 1732389120. Its totient is φ = 121881600.

The previous prime is 468007181. The next prime is 468007219. The reversal of 468007200 is 2700864.

It is an interprime number because it is at equal distance from previous prime (468007181) and next prime (468007219).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1014970 + ... + 1015430.

It is an arithmetic number, because the mean of its divisors is an integer number (6015240).

Almost surely, 2^468007200 is an apocalyptic number.

468007200 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 468007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866194560).

468007200 is an abundant number, since it is smaller than the sum of its proper divisors (1264381920).

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

468007200 is a wasteful number, since it uses less digits than its factorization.

468007200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 468007200 is about 21633.4740622028. The cubic root of 468007200 is about 776.3975891509.

The spelling of 468007200 in words is "four hundred sixty-eight million, seven thousand, two hundred".