248546496 has 112 divisors (see below), whose sum is σ = 723473280. Its totient is φ = 74680320.

The previous prime is 248546491. The next prime is 248546503. The reversal of 248546496 is 694645842.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (248546491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288915 + ... + 289773.

Almost surely, 2^248546496 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 248546496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361736640).

248546496 is an abundant number, since it is smaller than the sum of its proper divisors (474926784).

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

248546496 is a wasteful number, since it uses less digits than its factorization.

248546496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1012 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 248546496 is about 15765.3574650244. The cubic root of 248546496 is about 628.7372843717.

The spelling of 248546496 in words is "two hundred forty-eight million, five hundred forty-six thousand, four hundred ninety-six".