248742900 has 360 divisors, whose sum is σ = 952814016. Its totient is φ = 54950400.

The previous prime is 248742899. The next prime is 248742911. The reversal of 248742900 is 9247842.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2324647 + ... + 2324753.

Almost surely, 2^248742900 is an apocalyptic number.

248742900 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 248742900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476407008).

248742900 is an abundant number, since it is smaller than the sum of its proper divisors (704071116).

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

248742900 is a wasteful number, since it uses less digits than its factorization.

248742900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 248742900 is about 15771.5852088495. The cubic root of 248742900 is about 628.9028523266.

The spelling of 248742900 in words is "two hundred forty-eight million, seven hundred forty-two thousand, nine hundred".