1258416 has 50 divisors (see below), whose sum is σ = 3645972. Its totient is φ = 419040.

The previous prime is 1258409. The next prime is 1258417. The reversal of 1258416 is 6148521.

It is a super-2 number, since 2×1258416² = 3167221658112, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1258416.

It is not an unprimeable number, because it can be changed into a prime (1258417) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 811 + ... + 1781.

2^1258416 is an apocalyptic number.

1258416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1258416 is the 648-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1258416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822986).

1258416 is an abundant number, since it is smaller than the sum of its proper divisors (2387556).

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

1258416 is an equidigital number, since it uses as much as digits as its factorization.

1258416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 976 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 1258416 is about 1121.7914244636. The cubic root of 1258416 is about 107.9629502544.

The spelling of 1258416 in words is "one million, two hundred fifty-eight thousand, four hundred sixteen".