468501300 has 288 divisors, whose sum is σ = 1631145600. Its totient is φ = 114923520.

The previous prime is 468501287. The next prime is 468501347. The reversal of 468501300 is 3105864.

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 95 ways as a sum of consecutive naturals, for example, 2708014 + ... + 2708186.

It is an arithmetic number, because the mean of its divisors is an integer number (5663700).

Almost surely, 2^468501300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468501300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815572800).

468501300 is an abundant number, since it is smaller than the sum of its proper divisors (1162644300).

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

468501300 is a wasteful number, since it uses less digits than its factorization.

468501300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 468501300 is about 21644.8908521157. The cubic root of 468501300 is about 776.6707210785.

The spelling of 468501300 in words is "four hundred sixty-eight million, five hundred one thousand, three hundred".