248929200 has 360 divisors, whose sum is σ = 969656688. Its totient is φ = 60963840.

The previous prime is 248929159. The next prime is 248929211. The reversal of 248929200 is 2929842.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×248929200² = 123931493225280000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1263502 + ... + 1263698.

Almost surely, 2^248929200 is an apocalyptic number.

248929200 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 248929200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484828344).

248929200 is an abundant number, since it is smaller than the sum of its proper divisors (720727488).

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

248929200 is a wasteful number, since it uses less digits than its factorization.

248929200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 248929200 is about 15777.4902947205. The cubic root of 248929200 is about 629.0598221172.

The spelling of 248929200 in words is "two hundred forty-eight million, nine hundred twenty-nine thousand, two hundred".