467242048 has 168 divisors, whose sum is σ = 1184937432. Its totient is φ = 181149696.

The previous prime is 467242043. The next prime is 467242057. The reversal of 467242048 is 840242764.

It can be written as a sum of positive squares in 4 ways, for example, as 7225344 + 460016704 = 2688^2 + 21448^2 .

467242048 is a modest number, since divided by 42048 gives 4672 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 467241998 and 467242016.

It is not an unprimeable number, because it can be changed into a prime (467242043) 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 23 ways as a sum of consecutive naturals, for example, 2975986 + ... + 2976142.

It is an arithmetic number, because the mean of its divisors is an integer number (7053199).

Almost surely, 2^467242048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592468716).

467242048 is an abundant number, since it is smaller than the sum of its proper divisors (717695384).

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

467242048 is a wasteful number, since it uses less digits than its factorization.

467242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The square root of 467242048 is about 21615.7823823243. The cubic root of 467242048 is about 775.9742436628.

It can be divided in two parts, 4672 and 42048, that multiplied together give a square (196448256 = 14016²).

The spelling of 467242048 in words is "four hundred sixty-seven million, two hundred forty-two thousand, forty-eight".