4280461248 has 252 divisors, whose sum is σ = 13669606392. Its totient is φ = 1178634240.

The previous prime is 4280461231. The next prime is 4280461249. The reversal of 4280461248 is 8421640824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4280461249) 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 35 ways as a sum of consecutive naturals, for example, 7911858 + ... + 7912398.

Almost surely, 2^4280461248 is an apocalyptic number.

4280461248 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 4280461248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6834803196).

4280461248 is an abundant number, since it is smaller than the sum of its proper divisors (9389145144).

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

4280461248 is a wasteful number, since it uses less digits than its factorization.

4280461248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 4280461248 is about 65425.2340309150. The cubic root of 4280461248 is about 1623.6665982251. Note that the first 3 decimals are identical.

The spelling of 4280461248 in words is "four billion, two hundred eighty million, four hundred sixty-one thousand, two hundred forty-eight".