468893600 has 288 divisors, whose sum is σ = 1405910016. Its totient is φ = 149299200.

The previous prime is 468893599. The next prime is 468893639. The reversal of 468893600 is 6398864.

It is a super-2 number, since 2×468893600² = 439722416241920000, which contains 22 as substring.

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, 6423164 + ... + 6423236.

It is an arithmetic number, because the mean of its divisors is an integer number (4881632).

Almost surely, 2^468893600 is an apocalyptic number.

468893600 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 468893600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702955008).

468893600 is an abundant number, since it is smaller than the sum of its proper divisors (937016416).

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

468893600 is a wasteful number, since it uses less digits than its factorization.

468893600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 468893600 is about 21653.9511406117. The cubic root of 468893600 is about 776.8874425830.

The spelling of 468893600 in words is "four hundred sixty-eight million, eight hundred ninety-three thousand, six hundred".