465947328 has 112 divisors (see below), whose sum is σ = 1537069824. Its totient is φ = 121021440.

The previous prime is 465947311. The next prime is 465947333. The reversal of 465947328 is 823749564.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975 + ... + 30542.

Almost surely, 2^465947328 is an apocalyptic number.

465947328 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 465947328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768534912).

465947328 is an abundant number, since it is smaller than the sum of its proper divisors (1071122496).

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

465947328 is a wasteful number, since it uses less digits than its factorization.

465947328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31550 (or 31540 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 465947328 is about 21585.8131188056. The cubic root of 465947328 is about 775.2568433472.

The spelling of 465947328 in words is "four hundred sixty-five million, nine hundred forty-seven thousand, three hundred twenty-eight".