1057408 has 32 divisors (see below), whose sum is σ = 2301120. Its totient is φ = 480000.

The previous prime is 1057393. The next prime is 1057411. The reversal of 1057408 is 8047501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1057408² = 2236223356928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1033 + ... + 1783.

It is an arithmetic number, because the mean of its divisors is an integer number (71910).

2^1057408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150560).

1057408 is an abundant number, since it is smaller than the sum of its proper divisors (1243712).

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

1057408 is an equidigital number, since it uses as much as digits as its factorization.

1057408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 1057408 is about 1028.3034571565. The cubic root of 1057408 is about 101.8781063451.

The spelling of 1057408 in words is "one million, fifty-seven thousand, four hundred eight".