1054659456 has 144 divisors (see below), whose sum is σ = 3098941560. Its totient is φ = 344280576.

The previous prime is 1054659451. The next prime is 1054659469. The reversal of 1054659456 is 6549564501.

1054659456 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 6 + 594 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1054659456² = 2224613136260431872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054659451) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4009981 + ... + 4010243.

Almost surely, 2^1054659456 is an apocalyptic number.

1054659456 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 1054659456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549470780).

1054659456 is an abundant number, since it is smaller than the sum of its proper divisors (2044282104).

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

1054659456 is an equidigital number, since it uses as much as digits as its factorization.

1054659456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 1054659456 is about 32475.5208734210. The cubic root of 1054659456 is about 1017.8975841428.

It can be divided in two parts, 105465 and 9456, that added together give a square (114921 = 339²).

The spelling of 1054659456 in words is "one billion, fifty-four million, six hundred fifty-nine thousand, four hundred fifty-six".