1058472 has 48 divisors (see below), whose sum is σ = 2925780. Its totient is φ = 345600.

The previous prime is 1058461. The next prime is 1058479. The reversal of 1058472 is 2748501.

1058472 is a `hidden beast` number, since 10 + 584 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1028196 + 30276 = 1014^2 + 174^2 .

It is a super-2 number, since 2×1058472² = 2240725949568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1058479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4272 + ... + 4512.

2^1058472 is an apocalyptic number.

1058472 is a gapful number since it is divisible by the number (12) 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 1058472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462890).

1058472 is an abundant number, since it is smaller than the sum of its proper divisors (1867308).

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

1058472 is a wasteful number, since it uses less digits than its factorization.

1058472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1058472 is about 1028.8206840845. The cubic root of 1058472 is about 101.9122659654.

The spelling of 1058472 in words is "one million, fifty-eight thousand, four hundred seventy-two".