464704128 has 320 divisors, whose sum is σ = 1668638400. Its totient is φ = 125411328.

The previous prime is 464704117. The next prime is 464704133. The reversal of 464704128 is 821407464.

464704128 is a `hidden beast` number, since 4 + 647 + 0 + 4 + 1 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 464704092 and 464704101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1378776 + ... + 1379112.

It is an arithmetic number, because the mean of its divisors is an integer number (5214495).

Almost surely, 2^464704128 is an apocalyptic number.

464704128 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 464704128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834319200).

464704128 is an abundant number, since it is smaller than the sum of its proper divisors (1203934272).

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

464704128 is a wasteful number, since it uses less digits than its factorization.

464704128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 464704128 is about 21556.9971934869. The cubic root of 464704128 is about 774.5667383378.

The spelling of 464704128 in words is "four hundred sixty-four million, seven hundred four thousand, one hundred twenty-eight".