468479088 has 360 divisors, whose sum is σ = 1728889344. Its totient is φ = 115695360.

The previous prime is 468479083. The next prime is 468479101. The reversal of 468479088 is 880974864.

It is a super-3 number, since 3×468479088³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468479083) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2805181 + ... + 2805347.

Almost surely, 2^468479088 is an apocalyptic number.

468479088 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 468479088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864444672).

468479088 is an abundant number, since it is smaller than the sum of its proper divisors (1260410256).

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

468479088 is a wasteful number, since it uses less digits than its factorization.

468479088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 468479088 is about 21644.3777457334. The cubic root of 468479088 is about 776.6584467029.

The spelling of 468479088 in words is "four hundred sixty-eight million, four hundred seventy-nine thousand, eighty-eight".