248426820 has 36 divisors (see below), whose sum is σ = 753561900. Its totient is φ = 66247104.

The previous prime is 248426813. The next prime is 248426863. The reversal of 248426820 is 28624842.

It is a happy number.

248426820 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 2 ways, for example, as 41757444 + 206669376 = 6462^2 + 14376^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 689895 + ... + 690254.

It is an arithmetic number, because the mean of its divisors is an integer number (20932275).

Almost surely, 2^248426820 is an apocalyptic number.

248426820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248426820 is an abundant number, since it is smaller than the sum of its proper divisors (505135080).

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

248426820 is a wasteful number, since it uses less digits than its factorization.

248426820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380164 (or 1380159 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 248426820 is about 15761.5614708696. The cubic root of 248426820 is about 628.6363551096.

The spelling of 248426820 in words is "two hundred forty-eight million, four hundred twenty-six thousand, eight hundred twenty".