253959552 has 288 divisors, whose sum is σ = 929658600. Its totient is φ = 65802240.

The previous prime is 253959523. The next prime is 253959557. The reversal of 253959552 is 255959352.

253959552 is a `hidden beast` number, since 2 + 5 + 3 + 9 + 595 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 253959498 and 253959507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253959557) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 620724 + ... + 621132.

Almost surely, 2^253959552 is an apocalyptic number.

253959552 is a gapful number since it is divisible by the number (22) 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 253959552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464829300).

253959552 is an abundant number, since it is smaller than the sum of its proper divisors (675699048).

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

253959552 is a wasteful number, since it uses less digits than its factorization.

253959552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 432 counting only the distinct ones).

The product of its digits is 607500, while the sum is 45.

The square root of 253959552 is about 15936.1084333660. The cubic root of 253959552 is about 633.2689347879.

It can be divided in two parts, 253 and 959552, that added together give a triangular number (959805 = T₁₃₈₅).

The spelling of 253959552 in words is "two hundred fifty-three million, nine hundred fifty-nine thousand, five hundred fifty-two".