253706820 has 48 divisors (see below), whose sum is σ = 712235328. Its totient is φ = 67478400.

The previous prime is 253706807. The next prime is 253706833. The reversal of 253706820 is 28607352.

It is an interprime number because it is at equal distance from previous prime (253706807) and next prime (253706833).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18495 + ... + 29145.

It is an arithmetic number, because the mean of its divisors is an integer number (14838236).

Almost surely, 2^253706820 is an apocalyptic number.

253706820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253706820 is an abundant number, since it is smaller than the sum of its proper divisors (458528508).

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

253706820 is a wasteful number, since it uses less digits than its factorization.

253706820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11060 (or 11058 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 253706820 is about 15928.1769201626. The cubic root of 253706820 is about 633.0587957535.

The spelling of 253706820 in words is "two hundred fifty-three million, seven hundred six thousand, eight hundred twenty".