252415620 has 36 divisors (see below), whose sum is σ = 765661260. Its totient is φ = 67310784.

The previous prime is 252415613. The next prime is 252415649. The reversal of 252415620 is 26514252.

252415620 is a `hidden beast` number, since 2 + 5 + 24 + 15 + 620 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 149230656 + 103184964 = 12216^2 + 10158^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 700975 + ... + 701334.

Almost surely, 2^252415620 is an apocalyptic number.

252415620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252415620 is an abundant number, since it is smaller than the sum of its proper divisors (513245640).

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

252415620 is a wasteful number, since it uses less digits than its factorization.

252415620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402324 (or 1402319 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 252415620 is about 15887.5932727396. The cubic root of 252415620 is about 631.9830184242.

Adding to 252415620 its reverse (26514252), we get a palindrome (278929872).

The spelling of 252415620 in words is "two hundred fifty-two million, four hundred fifteen thousand, six hundred twenty".