465752448 has 288 divisors, whose sum is σ = 1608384960. Its totient is φ = 128894976.

The previous prime is 465752437. The next prime is 465752459. The reversal of 465752448 is 844257564.

It is an interprime number because it is at equal distance from previous prime (465752437) and next prime (465752459).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2088465 + ... + 2088687.

It is an arithmetic number, because the mean of its divisors is an integer number (5584670).

Almost surely, 2^465752448 is an apocalyptic number.

465752448 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 465752448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804192480).

465752448 is an abundant number, since it is smaller than the sum of its proper divisors (1142632512).

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

465752448 is a wasteful number, since it uses less digits than its factorization.

465752448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 272 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 465752448 is about 21581.2985707533. The cubic root of 465752448 is about 775.1487459204.

The spelling of 465752448 in words is "four hundred sixty-five million, seven hundred fifty-two thousand, four hundred forty-eight".