1204825440 has 192 divisors, whose sum is σ = 4671184896. Its totient is φ = 254195712.

The previous prime is 1204825373. The next prime is 1204825441. The reversal of 1204825440 is 445284021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1204825398 and 1204825407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1204825441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29889 + ... + 57471.

It is an arithmetic number, because the mean of its divisors is an integer number (24329088).

Almost surely, 2^1204825440 is an apocalyptic number.

1204825440 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 1204825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335592448).

1204825440 is an abundant number, since it is smaller than the sum of its proper divisors (3466359456).

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

1204825440 is a wasteful number, since it uses less digits than its factorization.

1204825440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27621 (or 27613 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 1204825440 is about 34710.5955005096. The cubic root of 1204825440 is about 1064.0810517335.

The spelling of 1204825440 in words is "one billion, two hundred four million, eight hundred twenty-five thousand, four hundred forty".