468151488 has 420 divisors, whose sum is σ = 1716801240. Its totient is φ = 125411328.

The previous prime is 468151483. The next prime is 468151501. The reversal of 468151488 is 884151864.

468151488 is a `hidden beast` number, since 46 + 81 + 51 + 488 = 666.

It is a super-2 number, since 2×468151488² = 438331631433228288, which contains 22 as substring.

Its product of digits (245760) is a multiple of the sum of its prime divisors (128).

It is not an unprimeable number, because it can be changed into a prime (468151483) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4826256 + ... + 4826352.

It is an arithmetic number, because the mean of its divisors is an integer number (4087622).

Almost surely, 2^468151488 is an apocalyptic number.

468151488 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 468151488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858400620).

468151488 is an abundant number, since it is smaller than the sum of its proper divisors (1248649752).

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

468151488 is a wasteful number, since it uses less digits than its factorization.

468151488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 128 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The square root of 468151488 is about 21636.8086371350. The cubic root of 468151488 is about 776.4773695081.

It can be divided in two parts, 4681 and 51488, that added together give a square (56169 = 237²).

The spelling of 468151488 in words is "four hundred sixty-eight million, one hundred fifty-one thousand, four hundred eighty-eight".