248262480 has 120 divisors (see below), whose sum is σ = 836628000. Its totient is φ = 65975040.

The previous prime is 248262473. The next prime is 248262499. The reversal of 248262480 is 84262842.

It is a happy number.

248262480 is a `hidden beast` number, since 24 + 8 + 2 + 624 + 8 + 0 = 666.

248262480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358935 + ... + 359625.

It is an arithmetic number, because the mean of its divisors is an integer number (6971900).

Almost surely, 2^248262480 is an apocalyptic number.

248262480 is a gapful number since it is divisible by the number (20) 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 248262480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418314000).

248262480 is an abundant number, since it is smaller than the sum of its proper divisors (588365520).

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

248262480 is a wasteful number, since it uses less digits than its factorization.

248262480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 248262480 is about 15756.3472924406. The cubic root of 248262480 is about 628.4977054425.

The spelling of 248262480 in words is "two hundred forty-eight million, two hundred sixty-two thousand, four hundred eighty".