1425967200 has 288 divisors, whose sum is σ = 5894622720. Its totient is φ = 325900800.

The previous prime is 1425967159. The next prime is 1425967211. The reversal of 1425967200 is 27695241.

1425967200 is a `hidden beast` number, since 1 + 42 + 596 + 7 + 20 + 0 = 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 47 ways as a sum of consecutive naturals, for example, 146485 + ... + 155915.

It is an arithmetic number, because the mean of its divisors is an integer number (20467440).

Almost surely, 2^1425967200 is an apocalyptic number.

1425967200 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 1425967200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947311360).

1425967200 is an abundant number, since it is smaller than the sum of its proper divisors (4468655520).

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

1425967200 is a wasteful number, since it uses less digits than its factorization.

1425967200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9467 (or 9448 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1425967200 is about 37761.9808802451. The cubic root of 1425967200 is about 1125.5630958846.

The spelling of 1425967200 in words is "one billion, four hundred twenty-five million, nine hundred sixty-seven thousand, two hundred".