1054430784 has 315 divisors, whose sum is σ = 3521486353. Its totient is φ = 311731200.

The previous prime is 1054430779. The next prime is 1054430801. The reversal of 1054430784 is 4870344501.

The square root of 1054430784 is 32472.

It is a perfect power (a square), and thus also a powerful number.

1054430784 is a `hidden beast` number, since 1 + 0 + 544 + 30 + 7 + 84 = 666.

1054430784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 50808384 + 1003622400 = 7128^2 + 31680^2 .

It is a super-2 number, since 2×1054430784² = 2223648556493709312, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25717804 + ... + 25717844.

Almost surely, 2^1054430784 is an apocalyptic number.

1054430784 is the 32472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054430784

1054430784 is an abundant number, since it is smaller than the sum of its proper divisors (2467055569).

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

1054430784 is an equidigital number, since it uses as much as digits as its factorization.

1054430784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The cubic root of 1054430784 is about 1017.8240117368.

Multiplying 1054430784 by its sum of digits (36), we get a square (37959508224 = 194832²).

1054430784 divided by its sum of digits (36) gives a square (29289744 = 5412²).

It can be divided in two parts, 10544 and 30784, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 1054430784 in words is "one billion, fifty-four million, four hundred thirty thousand, seven hundred eighty-four".