1254640800 has 576 divisors, whose sum is σ = 5183668224. Its totient is φ = 256819200.

The previous prime is 1254640771. The next prime is 1254640801. The reversal of 1254640800 is 80464521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1254640801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6568705 + ... + 6568895.

It is an arithmetic number, because the mean of its divisors is an integer number (8999424).

Almost surely, 2^1254640800 is an apocalyptic number.

1254640800 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 1254640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591834112).

1254640800 is an abundant number, since it is smaller than the sum of its proper divisors (3929027424).

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

1254640800 is a wasteful number, since it uses less digits than its factorization.

1254640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1254640800 is about 35420.9090792430. The cubic root of 1254640800 is about 1078.5488053632.

The spelling of 1254640800 in words is "one billion, two hundred fifty-four million, six hundred forty thousand, eight hundred".