1245384000 has 504 divisors, whose sum is σ = 5196964968. Its totient is φ = 283852800.

The previous prime is 1245383981. The next prime is 1245384029. The reversal of 1245384000 is 4835421.

1245384000 is a `hidden beast` number, since 124 + 538 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82301184 + 1163082816 = 9072^2 + 34104^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3527824 + ... + 3528176.

Almost surely, 2^1245384000 is an apocalyptic number.

1245384000 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 1245384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598482484).

1245384000 is an abundant number, since it is smaller than the sum of its proper divisors (3951580968).

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

1245384000 is a wasteful number, since it uses less digits than its factorization.

1245384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1245384000 is about 35289.9985831680. The cubic root of 1245384000 is about 1075.8897267256.

The spelling of 1245384000 in words is "one billion, two hundred forty-five million, three hundred eighty-four thousand".