253045040 has 80 divisors (see below), whose sum is σ = 622564320. Its totient is φ = 95385600.

The previous prime is 253045007. The next prime is 253045043. The reversal of 253045040 is 40540352.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 253044997 and 253045015.

It is not an unprimeable number, because it can be changed into a prime (253045043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420740 + ... + 421340.

It is an arithmetic number, because the mean of its divisors is an integer number (7782054).

Almost surely, 2^253045040 is an apocalyptic number.

253045040 is a gapful number since it is divisible by the number (20) 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 253045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311282160).

253045040 is an abundant number, since it is smaller than the sum of its proper divisors (369519280).

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

253045040 is a wasteful number, since it uses less digits than its factorization.

253045040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 253045040 is about 15907.3894778496. The cubic root of 253045040 is about 632.5078836889.

Adding to 253045040 its reverse (40540352), we get a palindrome (293585392).

The spelling of 253045040 in words is "two hundred fifty-three million, forty-five thousand, forty".