1253920 has 48 divisors (see below), whose sum is σ = 3143448. Its totient is φ = 471040.

The previous prime is 1253911. The next prime is 1253947. The reversal of 1253920 is 293521.

It can be written as a sum of positive squares in 4 ways, for example, as 1056784 + 197136 = 1028^2 + 444^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1253891 and 1253900.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2490 + ... + 2950.

2^1253920 is an apocalyptic number.

1253920 is a gapful number since it is divisible by the number (10) 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 1253920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571724).

1253920 is an abundant number, since it is smaller than the sum of its proper divisors (1889528).

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

1253920 is a wasteful number, since it uses less digits than its factorization.

1253920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 1253920 is about 1119.7856937825. The cubic root of 1253920 is about 107.8342221162.

It can be divided in two parts, 125 and 3920, that multiplied together give a square (490000 = 700²).

The spelling of 1253920 in words is "one million, two hundred fifty-three thousand, nine hundred twenty".