464004288 has 280 divisors, whose sum is σ = 1534241280. Its totient is φ = 137479680.

The previous prime is 464004283. The next prime is 464004293. The reversal of 464004288 is 882400464.

464004288 is a `hidden beast` number, since 4 + 640 + 0 + 4 + 2 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (464004283) and next prime (464004293).

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 (464004283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4504845 + ... + 4504947.

Almost surely, 2^464004288 is an apocalyptic number.

464004288 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 464004288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767120640).

464004288 is an abundant number, since it is smaller than the sum of its proper divisors (1070236992).

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

464004288 is a wasteful number, since it uses less digits than its factorization.

464004288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 464004288 is about 21540.7587610093. The cubic root of 464004288 is about 774.1777129342.

The spelling of 464004288 in words is "four hundred sixty-four million, four thousand, two hundred eighty-eight".