248406434304 has 320 divisors, whose sum is σ = 783501852672. Its totient is φ = 68438016000.

The previous prime is 248406434239. The next prime is 248406434323. The reversal of 248406434304 is 403434604842.

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 31 ways as a sum of consecutive naturals, for example, 105658729 + ... + 105661079.

Almost surely, 2^248406434304 is an apocalyptic number.

248406434304 is a gapful number since it is divisible by the number (24) 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 248406434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391750926336).

248406434304 is an abundant number, since it is smaller than the sum of its proper divisors (535095418368).

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

248406434304 is a wasteful number, since it uses less digits than its factorization.

248406434304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 248406434304 in words is "two hundred forty-eight billion, four hundred six million, four hundred thirty-four thousand, three hundred four".