1057035408 has 80 divisors (see below), whose sum is σ = 3208086336. Its totient is φ = 295672320.

The previous prime is 1057035407. The next prime is 1057035409. The reversal of 1057035408 is 8045307501.

It is an interprime number because it is at equal distance from previous prime (1057035407) and next prime (1057035409).

It is a super-2 number, since 2×1057035408² = 2234647707531452928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1057035407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70135 + ... + 83862.

Almost surely, 2^1057035408 is an apocalyptic number.

It is an amenable number.

1057035408 is an abundant number, since it is smaller than the sum of its proper divisors (2151050928).

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

1057035408 is a wasteful number, since it uses less digits than its factorization.

1057035408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154032 (or 154026 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 1057035408 is about 32512.0809546236. The cubic root of 1057035408 is about 1018.6613889681.

It can be divided in two parts, 105703 and 5408, that added together give a palindrome (111111).

The spelling of 1057035408 in words is "one billion, fifty-seven million, thirty-five thousand, four hundred eight".