1225025424 has 320 divisors, whose sum is σ = 4243776000. Its totient is φ = 330946560.

The previous prime is 1225025383. The next prime is 1225025449. The reversal of 1225025424 is 4245205221.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 5349342 + ... + 5349570.

It is an arithmetic number, because the mean of its divisors is an integer number (13261800).

Almost surely, 2^1225025424 is an apocalyptic number.

1225025424 is a gapful number since it is divisible by the number (14) 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 1225025424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121888000).

1225025424 is an abundant number, since it is smaller than the sum of its proper divisors (3018750576).

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

1225025424 is a wasteful number, since it uses less digits than its factorization.

1225025424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 1225025424 is about 35000.3631981155. The cubic root of 1225025424 is about 1069.9948827892.

It can be divided in two parts, 1225025 and 424, that added together give a square (1225449 = 1107²).

The spelling of 1225025424 in words is "one billion, two hundred twenty-five million, twenty-five thousand, four hundred twenty-four".