464970528 has 144 divisors (see below), whose sum is σ = 1450141056. Its totient is φ = 140152320.

The previous prime is 464970523. The next prime is 464970589. The reversal of 464970528 is 825079464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a house number.

It is not an unprimeable number, because it can be changed into a prime (464970523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1004025 + ... + 1004487.

It is an arithmetic number, because the mean of its divisors is an integer number (10070424).

Almost surely, 2^464970528 is an apocalyptic number.

464970528 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 464970528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725070528).

464970528 is an abundant number, since it is smaller than the sum of its proper divisors (985170528).

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

464970528 is a wasteful number, since it uses less digits than its factorization.

464970528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 464970528 is about 21563.1752763827. The cubic root of 464970528 is about 774.7147215017.

The spelling of 464970528 in words is "four hundred sixty-four million, nine hundred seventy thousand, five hundred twenty-eight".