1056054384 has 480 divisors, whose sum is σ = 3977745408. Its totient is φ = 253440000.

The previous prime is 1056054353. The next prime is 1056054413. The reversal of 1056054384 is 4834506501.

It is a happy number.

1056054384 is a `hidden beast` number, since 1 + 0 + 5 + 605 + 43 + 8 + 4 = 666.

It is a super-2 number, since 2×1056054384² = 2230501723931238912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10455934 + ... + 10456034.

Almost surely, 2^1056054384 is an apocalyptic number.

1056054384 is a gapful number since it is divisible by the number (14) 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 1056054384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988872704).

1056054384 is an abundant number, since it is smaller than the sum of its proper divisors (2921691024).

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

1056054384 is a wasteful number, since it uses less digits than its factorization.

1056054384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1056054384 is about 32496.9903837263. The cubic root of 1056054384 is about 1018.3461549407.

The spelling of 1056054384 in words is "one billion, fifty-six million, fifty-four thousand, three hundred eighty-four".