1245456000 has 480 divisors, whose sum is σ = 4779686340. Its totient is φ = 321408000.

The previous prime is 1245455977. The next prime is 1245456013. The reversal of 1245456000 is 6545421.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1245456000 is a `hidden beast` number, since 1 + 2 + 4 + 54 + 5 + 600 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 841928256 + 403527744 = 29016^2 + 20088^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40175985 + ... + 40176015.

Almost surely, 2^1245456000 is an apocalyptic number.

1245456000 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 1245456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389843170).

1245456000 is an abundant number, since it is smaller than the sum of its proper divisors (3534230340).

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

1245456000 is an frugal number, since it uses more digits than its factorization.

1245456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1245456000 is about 35291.0186874791. The cubic root of 1245456000 is about 1075.9104599740.

The spelling of 1245456000 in words is "one billion, two hundred forty-five million, four hundred fifty-six thousand".