465308928 has 288 divisors, whose sum is σ = 1609036800. Its totient is φ = 129890304.

The previous prime is 465308923. The next prime is 465308947. The reversal of 465308928 is 829803564.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465308923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2854575 + ... + 2854737.

Almost surely, 2^465308928 is an apocalyptic number.

465308928 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 465308928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804518400).

465308928 is an abundant number, since it is smaller than the sum of its proper divisors (1143727872).

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

465308928 is a wasteful number, since it uses less digits than its factorization.

465308928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 465308928 is about 21571.0205600013. The cubic root of 465308928 is about 774.9026186348.

The spelling of 465308928 in words is "four hundred sixty-five million, three hundred eight thousand, nine hundred twenty-eight".