1225846440 has 256 divisors, whose sum is σ = 5029516800. Its totient is φ = 258619392.

The previous prime is 1225846439. The next prime is 1225846471. The reversal of 1225846440 is 446485221.

1225846440 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 8 + 4 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1225846395 and 1225846404.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 92044 + ... + 104516.

It is an arithmetic number, because the mean of its divisors is an integer number (19646550).

Almost surely, 2^1225846440 is an apocalyptic number.

1225846440 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 1225846440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514758400).

1225846440 is an abundant number, since it is smaller than the sum of its proper divisors (3803670360).

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

1225846440 is a wasteful number, since it uses less digits than its factorization.

1225846440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12513 (or 12503 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 1225846440 is about 35012.0899119147. The cubic root of 1225846440 is about 1070.2338674177.

The spelling of 1225846440 in words is "one billion, two hundred twenty-five million, eight hundred forty-six thousand, four hundred forty".