1259457920 has 256 divisors, whose sum is σ = 3807129600. Its totient is φ = 388202496.

The previous prime is 1259457889. The next prime is 1259457929. The reversal of 1259457920 is 297549521.

It is a super-4 number, since 4×1259457920⁴ (a number of 38 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1259457929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1751321 + ... + 1752039.

It is an arithmetic number, because the mean of its divisors is an integer number (14871600).

Almost surely, 2^1259457920 is an apocalyptic number.

1259457920 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 1259457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1903564800).

1259457920 is an abundant number, since it is smaller than the sum of its proper divisors (2547671680).

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

1259457920 is a wasteful number, since it uses less digits than its factorization.

1259457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 44.

The square root of 1259457920 is about 35488.8421901870. The cubic root of 1259457920 is about 1079.9273842352.

The spelling of 1259457920 in words is "one billion, two hundred fifty-nine million, four hundred fifty-seven thousand, nine hundred twenty".