248470656 has 128 divisors (see below), whose sum is σ = 787276800. Its totient is φ = 67888128.

The previous prime is 248470627. The next prime is 248470661. The reversal of 248470656 is 656074842.

248470656 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 (128).

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

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, 59815 + ... + 63833.

It is an arithmetic number, because the mean of its divisors is an integer number (6150600).

Almost surely, 2^248470656 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 248470656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393638400).

248470656 is an abundant number, since it is smaller than the sum of its proper divisors (538806144).

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

248470656 is a wasteful number, since it uses less digits than its factorization.

248470656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 248470656 is about 15762.9520077935. The cubic root of 248470656 is about 628.6733281473.

It can be divided in two parts, 2484 and 70656, that multiplied together give a square (175509504 = 13248²).

The spelling of 248470656 in words is "two hundred forty-eight million, four hundred seventy thousand, six hundred fifty-six".