2453920 has 72 divisors (see below), whose sum is σ = 6765444. Its totient is φ = 838656.

The previous prime is 2453909. The next prime is 2453921. The reversal of 2453920 is 293542.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2039184 + 414736 = 1428^2 + 644^2 .

It is not an unprimeable number, because it can be changed into a prime (2453921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7684 + ... + 7996.

2^2453920 is an apocalyptic number.

2453920 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 2453920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382722).

2453920 is an abundant number, since it is smaller than the sum of its proper divisors (4311524).

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

2453920 is a wasteful number, since it uses less digits than its factorization.

2453920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 2453920 is about 1566.4992818383. The cubic root of 2453920 is about 134.8818353302.

It can be divided in two parts, 245 and 3920, that multiplied together give a square (960400 = 980²).

The spelling of 2453920 in words is "two million, four hundred fifty-three thousand, nine hundred twenty".