465775488 has 128 divisors (see below), whose sum is σ = 1382304000. Its totient is φ = 154400256.

The previous prime is 465775487. The next prime is 465775493. The reversal of 465775488 is 884577564.

465775488 is a `hidden beast` number, since 46 + 57 + 7 + 548 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465775483) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1060773 + ... + 1061211.

It is an arithmetic number, because the mean of its divisors is an integer number (10799250).

Almost surely, 2^465775488 is an apocalyptic number.

465775488 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 465775488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691152000).

465775488 is an abundant number, since it is smaller than the sum of its proper divisors (916528512).

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

465775488 is a wasteful number, since it uses less digits than its factorization.

465775488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 751 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The square root of 465775488 is about 21581.8323596492. The cubic root of 465775488 is about 775.1615274833.

The spelling of 465775488 in words is "four hundred sixty-five million, seven hundred seventy-five thousand, four hundred eighty-eight".