468849888 has 144 divisors (see below), whose sum is σ = 1451779056. Its totient is φ = 142663680.

The previous prime is 468849881. The next prime is 468849889. The reversal of 468849888 is 888948864.

It is a happy number.

468849888 is a `hidden beast` number, since 4 + 68 + 8 + 498 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×468849888² = 439640434955225088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468849881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362523 + ... + 363813.

It is an arithmetic number, because the mean of its divisors is an integer number (10081799).

Almost surely, 2^468849888 is an apocalyptic number.

468849888 is a gapful number since it is divisible by the number (48) 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 468849888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725889528).

468849888 is an abundant number, since it is smaller than the sum of its proper divisors (982929168).

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

468849888 is a wasteful number, since it uses less digits than its factorization.

468849888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1406 counting only the distinct ones).

The product of its digits is 28311552, while the sum is 63.

The square root of 468849888 is about 21652.9417862793. The cubic root of 468849888 is about 776.8633003901.

The spelling of 468849888 in words is "four hundred sixty-eight million, eight hundred forty-nine thousand, eight hundred eighty-eight".