481201248 has 48 divisors (see below), whose sum is σ = 1377988416. Its totient is φ = 145818240.

The previous prime is 481201247. The next prime is 481201249. The reversal of 481201248 is 842102184.

It is an interprime number because it is at equal distance from previous prime (481201247) and next prime (481201249).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481201247) 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 7 ways as a sum of consecutive naturals, for example, 226786 + ... + 228897.

It is an arithmetic number, because the mean of its divisors is an integer number (28708092).

Almost surely, 2^481201248 is an apocalyptic number.

481201248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

481201248 is an abundant number, since it is smaller than the sum of its proper divisors (896787168).

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

481201248 is a wasteful number, since it uses less digits than its factorization.

481201248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455707 (or 455699 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 481201248 is about 21936.2997791332. The cubic root of 481201248 is about 783.6261406441.

The spelling of 481201248 in words is "four hundred eighty-one million, two hundred one thousand, two hundred forty-eight".