464632848 has 100 divisors (see below), whose sum is σ = 1423954620. Its totient is φ = 145760256.

The previous prime is 464632829. The next prime is 464632849. The reversal of 464632848 is 848236464.

464632848 is a `hidden beast` number, since 4 + 6 + 4 + 632 + 8 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 424030464 + 40602384 = 20592^2 + 6372^2 .

It is a super-2 number, since 2×464632848² = 431767366881182208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (464632849) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11488 + ... + 32576.

Almost surely, 2^464632848 is an apocalyptic number.

464632848 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 464632848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711977310).

464632848 is an abundant number, since it is smaller than the sum of its proper divisors (959321772).

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

464632848 is a wasteful number, since it uses less digits than its factorization.

464632848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21126 (or 21111 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 464632848 is about 21555.3438385937. The cubic root of 464632848 is about 774.5271332522.

The spelling of 464632848 in words is "four hundred sixty-four million, six hundred thirty-two thousand, eight hundred forty-eight".