253919340 has 96 divisors (see below), whose sum is σ = 792529920. Its totient is φ = 67492800.

The previous prime is 253919321. The next prime is 253919383. The reversal of 253919340 is 43919352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 253919295 and 253919304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232195 + ... + 233285.

It is an arithmetic number, because the mean of its divisors is an integer number (8255520).

Almost surely, 2^253919340 is an apocalyptic number.

253919340 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 253919340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

253919340 is an abundant number, since it is smaller than the sum of its proper divisors (538610580).

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

253919340 is a wasteful number, since it uses less digits than its factorization.

253919340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 253919340 is about 15934.8467203171. The cubic root of 253919340 is about 633.2355090522.

The spelling of 253919340 in words is "two hundred fifty-three million, nine hundred nineteen thousand, three hundred forty".