468363600 has 240 divisors, whose sum is σ = 1765779840. Its totient is φ = 117504000.

The previous prime is 468363569. The next prime is 468363607. The reversal of 468363600 is 6363864.

468363600 is a `hidden beast` number, since 46 + 8 + 3 + 6 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468363607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182325 + ... + 184875.

It is an arithmetic number, because the mean of its divisors is an integer number (7357416).

Almost surely, 2^468363600 is an apocalyptic number.

468363600 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 468363600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882889920).

468363600 is an abundant number, since it is smaller than the sum of its proper divisors (1297416240).

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

468363600 is a wasteful number, since it uses less digits than its factorization.

468363600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 468363600 is about 21641.7097291318. The cubic root of 468363600 is about 776.5946216540.

The spelling of 468363600 in words is "four hundred sixty-eight million, three hundred sixty-three thousand, six hundred".