253500720 has 160 divisors (see below), whose sum is σ = 865016064. Its totient is φ = 60902400.

The previous prime is 253500707. The next prime is 253500721. The reversal of 253500720 is 27005352.

253500720 = T₄₅₃ + T₄₅₄ + ... + T₁₁₇₂.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (253500721) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 345474 + ... + 346206.

Almost surely, 2^253500720 is an apocalyptic number.

253500720 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 253500720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432508032).

253500720 is an abundant number, since it is smaller than the sum of its proper divisors (611515344).

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

253500720 is a wasteful number, since it uses less digits than its factorization.

253500720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 253500720 is about 15921.7059387492. The cubic root of 253500720 is about 632.8873264910.

The spelling of 253500720 in words is "two hundred fifty-three million, five hundred thousand, seven hundred twenty".