1056224400 has 720 divisors, whose sum is σ = 4543423488. Its totient is φ = 206976000.

The previous prime is 1056224387. The next prime is 1056224401. The reversal of 1056224400 is 44226501.

It is a super-2 number, since 2×1056224400² = 2231219966310720000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1056224401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14876365 + ... + 14876435.

Almost surely, 2^1056224400 is an apocalyptic number.

1056224400 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 1056224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271711744).

1056224400 is an abundant number, since it is smaller than the sum of its proper divisors (3487199088).

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

1056224400 is a wasteful number, since it uses less digits than its factorization.

1056224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 122 counting only the distinct ones).

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

The square root of 1056224400 is about 32499.6061514597. The cubic root of 1056224400 is about 1018.4008004376.

It can be divided in two parts, 1056 and 224400, that added together give a triangular number (225456 = T₆₇₁).

The spelling of 1056224400 in words is "one billion, fifty-six million, two hundred twenty-four thousand, four hundred".