1225905408 has 288 divisors, whose sum is σ = 4464096000. Its totient is φ = 323149824.

The previous prime is 1225905391. The next prime is 1225905413. The reversal of 1225905408 is 8045095221.

1225905408 is a `hidden beast` number, since 1 + 2 + 25 + 90 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628018 + ... + 629966.

Almost surely, 2^1225905408 is an apocalyptic number.

1225905408 is a gapful number since it is divisible by the number (18) 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 1225905408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232048000).

1225905408 is an abundant number, since it is smaller than the sum of its proper divisors (3238190592).

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

1225905408 is a wasteful number, since it uses less digits than its factorization.

1225905408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1974 counting only the distinct ones).

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

The square root of 1225905408 is about 35012.9320109013. The cubic root of 1225905408 is about 1070.2510279518.

The spelling of 1225905408 in words is "one billion, two hundred twenty-five million, nine hundred five thousand, four hundred eight".