464321088 has 504 divisors, whose sum is σ = 1811609280. Its totient is φ = 110315520.

The previous prime is 464321083. The next prime is 464321089. The reversal of 464321088 is 880123464.

464321088 is a `hidden beast` number, since 4 + 643 + 2 + 1 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (464321083) 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, 16011058 + ... + 16011086.

Almost surely, 2^464321088 is an apocalyptic number.

464321088 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 464321088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905804640).

464321088 is an abundant number, since it is smaller than the sum of its proper divisors (1347288192).

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

464321088 is a wasteful number, since it uses less digits than its factorization.

464321088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 464321088 is about 21548.1110076962. Note that the first 3 decimals coincide. The cubic root of 464321088 is about 774.3538633921.

The spelling of 464321088 in words is "four hundred sixty-four million, three hundred twenty-one thousand, eighty-eight".