1225085904 has 240 divisors, whose sum is σ = 4136302720. Its totient is φ = 340070400.

The previous prime is 1225085903. The next prime is 1225085923. The reversal of 1225085904 is 4095805221.

1225085904 is a `hidden beast` number, since 12 + 2 + 50 + 8 + 590 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225085903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5083224 + ... + 5083464.

Almost surely, 2^1225085904 is an apocalyptic number.

1225085904 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 1225085904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068151360).

1225085904 is an abundant number, since it is smaller than the sum of its proper divisors (2911216816).

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

1225085904 is a wasteful number, since it uses less digits than its factorization.

1225085904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1225085904 is about 35001.2271784862. The cubic root of 1225085904 is about 1070.0124911926.

The spelling of 1225085904 in words is "one billion, two hundred twenty-five million, eighty-five thousand, nine hundred four".