1282250400 has 288 divisors, whose sum is σ = 4354596288. Its totient is φ = 327475200.

The previous prime is 1282250393. The next prime is 1282250407. The reversal of 1282250400 is 40522821.

It is an interprime number because it is at equal distance from previous prime (1282250393) and next prime (1282250407).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282250407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8167122 + ... + 8167278.

It is an arithmetic number, because the mean of its divisors is an integer number (15120126).

Almost surely, 2^1282250400 is an apocalyptic number.

1282250400 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 1282250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177298144).

1282250400 is an abundant number, since it is smaller than the sum of its proper divisors (3072345888).

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

1282250400 is a wasteful number, since it uses less digits than its factorization.

1282250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1282250400 is about 35808.5241248505. The cubic root of 1282250400 is about 1086.4029788303.

The spelling of 1282250400 in words is "one billion, two hundred eighty-two million, two hundred fifty thousand, four hundred".