253948680 has 192 divisors, whose sum is σ = 878342400. Its totient is φ = 63452160.

The previous prime is 253948657. The next prime is 253948687. The reversal of 253948680 is 86849352.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (253948687) 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 47 ways as a sum of consecutive naturals, for example, 936945 + ... + 937215.

It is an arithmetic number, because the mean of its divisors is an integer number (4574700).

Almost surely, 2^253948680 is an apocalyptic number.

253948680 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 253948680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439171200).

253948680 is an abundant number, since it is smaller than the sum of its proper divisors (624393720).

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

253948680 is a wasteful number, since it uses less digits than its factorization.

253948680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 253948680 is about 15935.7673175784. The cubic root of 253948680 is about 633.2598979182.

The spelling of 253948680 in words is "two hundred fifty-three million, nine hundred forty-eight thousand, six hundred eighty".