468921600 has 324 divisors, whose sum is σ = 1917648096. Its totient is φ = 107089920.

The previous prime is 468921599. The next prime is 468921623. The reversal of 468921600 is 6129864.

468921600 is a `hidden beast` number, since 46 + 8 + 9 + 2 + 1 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 402619 + ... + 403781.

Almost surely, 2^468921600 is an apocalyptic number.

468921600 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 468921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958824048).

468921600 is an abundant number, since it is smaller than the sum of its proper divisors (1448726496).

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

468921600 is a wasteful number, since it uses less digits than its factorization.

468921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 468921600 is about 21654.5976642375. The cubic root of 468921600 is about 776.9029062301.

The spelling of 468921600 in words is "four hundred sixty-eight million, nine hundred twenty-one thousand, six hundred".