465527120 has 80 divisors (see below), whose sum is σ = 1124928000. Its totient is φ = 179020800.

The previous prime is 465527087. The next prime is 465527123. The reversal of 465527120 is 21725564.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465527123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231881 + ... + 233879.

It is an arithmetic number, because the mean of its divisors is an integer number (14061600).

Almost surely, 2^465527120 is an apocalyptic number.

465527120 is a gapful number since it is divisible by the number (40) 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 465527120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464000).

465527120 is an abundant number, since it is smaller than the sum of its proper divisors (659400880).

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

465527120 is a wasteful number, since it uses less digits than its factorization.

465527120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 465527120 is about 21576.0774933721. The cubic root of 465527120 is about 775.0237217852.

The spelling of 465527120 in words is "four hundred sixty-five million, five hundred twenty-seven thousand, one hundred twenty".