1259042400 has 576 divisors, whose sum is σ = 5684636160. Its totient is φ = 261273600.

The previous prime is 1259042387. The next prime is 1259042417. The reversal of 1259042400 is 42409521.

1259042400 is a `hidden beast` number, since 1 + 259 + 0 + 4 + 2 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1662822 + ... + 1663578.

It is an arithmetic number, because the mean of its divisors is an integer number (9869160).

Almost surely, 2^1259042400 is an apocalyptic number.

1259042400 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 1259042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842318080).

1259042400 is an abundant number, since it is smaller than the sum of its proper divisors (4425593760).

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

1259042400 is a wasteful number, since it uses less digits than its factorization.

1259042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1259042400 is about 35482.9874728721. The cubic root of 1259042400 is about 1079.8086080598.

The spelling of 1259042400 in words is "one billion, two hundred fifty-nine million, forty-two thousand, four hundred".