1056422400 has 480 divisors, whose sum is σ = 3963871296. Its totient is φ = 245760000.

The previous prime is 1056422399. The next prime is 1056422417. The reversal of 1056422400 is 42246501.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1056422400² = 2232056574443520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17318370 + ... + 17318430.

Almost surely, 2^1056422400 is an apocalyptic number.

1056422400 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 1056422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981935648).

1056422400 is an abundant number, since it is smaller than the sum of its proper divisors (2907448896).

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

1056422400 is a wasteful number, since it uses less digits than its factorization.

1056422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1056422400 is about 32502.6521994744. The cubic root of 1056422400 is about 1018.4644329888.

Adding to 1056422400 its reverse (42246501), we get a palindrome (1098668901).

It can be divided in two parts, 1056 and 422400, that multiplied together give a square (446054400 = 21120²).

The spelling of 1056422400 in words is "one billion, fifty-six million, four hundred twenty-two thousand, four hundred".