1056449856 has 224 divisors, whose sum is σ = 3669304320. Its totient is φ = 259891200.

The previous prime is 1056449851. The next prime is 1056449923. The reversal of 1056449856 is 6589446501.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1056449856² = 2232172596484841472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056449851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279016 + ... + 282776.

Almost surely, 2^1056449856 is an apocalyptic number.

1056449856 is a gapful number since it is divisible by the number (16) 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 1056449856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834652160).

1056449856 is an abundant number, since it is smaller than the sum of its proper divisors (2612854464).

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

1056449856 is a wasteful number, since it uses less digits than its factorization.

1056449856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3813 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 1056449856 is about 32503.0745622626. The cubic root of 1056449856 is about 1018.4732560749.

The spelling of 1056449856 in words is "one billion, fifty-six million, four hundred forty-nine thousand, eight hundred fifty-six".