248625468 has 144 divisors (see below), whose sum is σ = 800479680. Its totient is φ = 63286272.

The previous prime is 248625467. The next prime is 248625473. The reversal of 248625468 is 864526842.

248625468 is a `hidden beast` number, since 2 + 48 + 62 + 546 + 8 = 666.

248625468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248625467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93696 + ... + 96312.

Almost surely, 2^248625468 is an apocalyptic number.

248625468 is a gapful number since it is divisible by the number (28) 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 248625468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400239840).

248625468 is an abundant number, since it is smaller than the sum of its proper divisors (551854212).

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

248625468 is a wasteful number, since it uses less digits than its factorization.

248625468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676 (or 2671 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 248625468 is about 15767.8618715411. The cubic root of 248625468 is about 628.8038680006.

The spelling of 248625468 in words is "two hundred forty-eight million, six hundred twenty-five thousand, four hundred sixty-eight".