468204348600 has 480 divisors, whose sum is σ = 1653752583120. Its totient is φ = 122746337280.

The previous prime is 468204348587. The next prime is 468204348649. The reversal of 468204348600 is 6843402864.

468204348600 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 0 + 4 + 34 + 8 + 600 = 666.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 618499422 + ... + 618500178.

Almost surely, 2^468204348600 is an apocalyptic number.

468204348600 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 468204348600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826876291560).

468204348600 is an abundant number, since it is smaller than the sum of its proper divisors (1185548234520).

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

468204348600 is a wasteful number, since it uses less digits than its factorization.

468204348600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 468204348600 in words is "four hundred sixty-eight billion, two hundred four million, three hundred forty-eight thousand, six hundred".