248713920 has 504 divisors, whose sum is σ = 1073176416. Its totient is φ = 51757056.

The previous prime is 248713909. The next prime is 248713967. The reversal of 248713920 is 29317842.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×248713920² = 123717228003532800, 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, 3407004 + ... + 3407076.

Almost surely, 2^248713920 is an apocalyptic number.

248713920 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 248713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536588208).

248713920 is an abundant number, since it is smaller than the sum of its proper divisors (824462496).

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

248713920 is a wasteful number, since it uses less digits than its factorization.

248713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 248713920 is about 15770.6664412129. Note that the first 3 decimals coincide. The cubic root of 248713920 is about 628.8784277601.

The spelling of 248713920 in words is "two hundred forty-eight million, seven hundred thirteen thousand, nine hundred twenty".