248531400 has 432 divisors, whose sum is σ = 973486800. Its totient is φ = 56609280.

The previous prime is 248531389. The next prime is 248531401. The reversal of 248531400 is 4135842.

It is not an unprimeable number, because it can be changed into a prime (248531401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5779779 + ... + 5779821.

Almost surely, 2^248531400 is an apocalyptic number.

248531400 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 248531400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486743400).

248531400 is an abundant number, since it is smaller than the sum of its proper divisors (724955400).

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

248531400 is a wasteful number, since it uses less digits than its factorization.

248531400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 248531400 is about 15764.8786864980. The cubic root of 248531400 is about 628.7245548820.

The spelling of 248531400 in words is "two hundred forty-eight million, five hundred thirty-one thousand, four hundred".