248454000 has 320 divisors, whose sum is σ = 919226880. Its totient is φ = 64108800.

The previous prime is 248453993. The next prime is 248454007. The reversal of 248454000 is 454842.

It is an interprime number because it is at equal distance from previous prime (248453993) and next prime (248454007).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248454007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2321947 + ... + 2322053.

It is an arithmetic number, because the mean of its divisors is an integer number (2872584).

Almost surely, 2^248454000 is an apocalyptic number.

248454000 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 248454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459613440).

248454000 is an abundant number, since it is smaller than the sum of its proper divisors (670772880).

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

248454000 is a wasteful number, since it uses less digits than its factorization.

248454000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 248454000 is about 15762.4236715043. The cubic root of 248454000 is about 628.6592803222.

The spelling of 248454000 in words is "two hundred forty-eight million, four hundred fifty-four thousand".