1257413328 has 160 divisors (see below), whose sum is σ = 3749621120. Its totient is φ = 403107840.

The previous prime is 1257413317. The next prime is 1257413341. The reversal of 1257413328 is 8233147521.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1257413292 and 1257413301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1550043 + ... + 1550853.

It is an arithmetic number, because the mean of its divisors is an integer number (23435132).

Almost surely, 2^1257413328 is an apocalyptic number.

1257413328 is a gapful number since it is divisible by the number (18) 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 1257413328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874810560).

1257413328 is an abundant number, since it is smaller than the sum of its proper divisors (2492207792).

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

1257413328 is a wasteful number, since it uses less digits than its factorization.

1257413328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 950 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 1257413328 is about 35460.0243654739. The cubic root of 1257413328 is about 1079.3426864443.

The spelling of 1257413328 in words is "one billion, two hundred fifty-seven million, four hundred thirteen thousand, three hundred twenty-eight".