1225913400 has 192 divisors, whose sum is σ = 4240800000. Its totient is φ = 325503360.

The previous prime is 1225913399. The next prime is 1225913413. The reversal of 1225913400 is 43195221.

1225913400 is a `hidden beast` number, since 1 + 2 + 259 + 1 + 3 + 400 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2046301 + ... + 2046899.

It is an arithmetic number, because the mean of its divisors is an integer number (22087500).

Almost surely, 2^1225913400 is an apocalyptic number.

1225913400 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 1225913400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2120400000).

1225913400 is an abundant number, since it is smaller than the sum of its proper divisors (3014886600).

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

1225913400 is a wasteful number, since it uses less digits than its factorization.

1225913400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1225913400 is about 35013.0461399747. The cubic root of 1225913400 is about 1070.2533536961.

The spelling of 1225913400 in words is "one billion, two hundred twenty-five million, nine hundred thirteen thousand, four hundred".