1054429824 has 96 divisors (see below), whose sum is σ = 3258165600. Its totient is φ = 301260288.

The previous prime is 1054429801. The next prime is 1054429891. The reversal of 1054429824 is 4289244501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1054429824² = 2223644507481341952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9204 + ... + 46835.

It is an arithmetic number, because the mean of its divisors is an integer number (33939225).

Almost surely, 2^1054429824 is an apocalyptic number.

1054429824 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 1054429824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629082800).

1054429824 is an abundant number, since it is smaller than the sum of its proper divisors (2203735776).

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

1054429824 is an equidigital number, since it uses as much as digits as its factorization.

1054429824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56070 (or 56051 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 1054429824 is about 32471.9852180306. The cubic root of 1054429824 is about 1017.8237028462.

The spelling of 1054429824 in words is "one billion, fifty-four million, four hundred twenty-nine thousand, eight hundred twenty-four".