248784840 has 96 divisors (see below), whose sum is σ = 821878200. Its totient is φ = 65249280.

The previous prime is 248784829. The next prime is 248784847. The reversal of 248784840 is 48487842.

It is a happy number.

248784840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 110628324 + 138156516 = 10518^2 + 11754^2 .

It is a super-2 number, since 2×248784840² = 123787793227651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (248784847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16296 + ... + 27624.

Almost surely, 2^248784840 is an apocalyptic number.

248784840 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 248784840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410939100).

248784840 is an abundant number, since it is smaller than the sum of its proper divisors (573093360).

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

248784840 is a wasteful number, since it uses less digits than its factorization.

248784840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11407 (or 11400 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 248784840 is about 15772.9147591686. The cubic root of 248784840 is about 628.9381963215.

The spelling of 248784840 in words is "two hundred forty-eight million, seven hundred eighty-four thousand, eight hundred forty".