248478720 has 176 divisors, whose sum is σ = 908671488. Its totient is φ = 56770560.

The previous prime is 248478709. The next prime is 248478731. The reversal of 248478720 is 27874842.

248478720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248478709) and next prime (248478731).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106365 + ... + 108675.

Almost surely, 2^248478720 is an apocalyptic number.

248478720 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 248478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454335744).

248478720 is an abundant number, since it is smaller than the sum of its proper divisors (660192768).

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

248478720 is a wasteful number, since it uses less digits than its factorization.

248478720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The square root of 248478720 is about 15763.2077953696. The cubic root of 248478720 is about 628.6801291743.

The spelling of 248478720 in words is "two hundred forty-eight million, four hundred seventy-eight thousand, seven hundred twenty".