253790472 has 64 divisors (see below), whose sum is σ = 699209280. Its totient is φ = 76269312.

The previous prime is 253790461. The next prime is 253790473. The reversal of 253790472 is 274097352.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 253790472.

It is not an unprimeable number, because it can be changed into a prime (253790473) 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, 3958 + ... + 22874.

It is an arithmetic number, because the mean of its divisors is an integer number (10925145).

Almost surely, 2^253790472 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 253790472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349604640).

253790472 is an abundant number, since it is smaller than the sum of its proper divisors (445418808).

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

253790472 is a wasteful number, since it uses less digits than its factorization.

253790472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18982 (or 18978 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 253790472 is about 15930.8026163153. The cubic root of 253790472 is about 633.1283653131.

The spelling of 253790472 in words is "two hundred fifty-three million, seven hundred ninety thousand, four hundred seventy-two".