1057422400 has 84 divisors (see below), whose sum is σ = 2685978880. Its totient is φ = 409305600.

The previous prime is 1057422397. The next prime is 1057422419. The reversal of 1057422400 is 42247501.

1057422400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1057422400² = 2236284264043520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38941 + ... + 60259.

Almost surely, 2^1057422400 is an apocalyptic number.

1057422400 is a gapful number since it is divisible by the number (10) 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 1057422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342989440).

1057422400 is an abundant number, since it is smaller than the sum of its proper divisors (1628556480).

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

1057422400 is a wasteful number, since it uses less digits than its factorization.

1057422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21372 (or 21357 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 1057422400 is about 32518.0319207667. The cubic root of 1057422400 is about 1018.7856880870.

Adding to 1057422400 its reverse (42247501), we get a palindrome (1099669901).

The spelling of 1057422400 in words is "one billion, fifty-seven million, four hundred twenty-two thousand, four hundred".