464568048 has 200 divisors, whose sum is σ = 1575420000. Its totient is φ = 129392640.

The previous prime is 464568043. The next prime is 464568067. The reversal of 464568048 is 840865464.

464568048 is a `hidden beast` number, since 46 + 4 + 568 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 464567994 and 464568012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464568043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 371328 + ... + 372576.

It is an arithmetic number, because the mean of its divisors is an integer number (7877100).

Almost surely, 2^464568048 is an apocalyptic number.

464568048 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 464568048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787710000).

464568048 is an abundant number, since it is smaller than the sum of its proper divisors (1110851952).

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

464568048 is a wasteful number, since it uses less digits than its factorization.

464568048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 464568048 is about 21553.8406786354. The cubic root of 464568048 is about 774.4911251139.

The spelling of 464568048 in words is "four hundred sixty-four million, five hundred sixty-eight thousand, forty-eight".