253050496 has 64 divisors (see below), whose sum is σ = 517293000. Its totient is φ = 123273216.

The previous prime is 253050487. The next prime is 253050527. The reversal of 253050496 is 694050352.

It can be written as a sum of positive squares in 4 ways, for example, as 227406400 + 25644096 = 15080^2 + 5064^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 1104910 + ... + 1105138.

Almost surely, 2^253050496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253050496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258646500).

253050496 is an abundant number, since it is smaller than the sum of its proper divisors (264242504).

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

253050496 is an equidigital number, since it uses as much as digits as its factorization.

253050496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 253050496 is about 15907.5609695516. The cubic root of 253050496 is about 632.5124295703.

The spelling of 253050496 in words is "two hundred fifty-three million, fifty thousand, four hundred ninety-six".