1055538432 has 288 divisors, whose sum is σ = 3564408960. Its totient is φ = 305233920.

The previous prime is 1055538431. The next prime is 1055538443. The reversal of 1055538432 is 2348355501.

1055538432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1055538432² = 2228322762858037248, 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 not an unprimeable number, because it can be changed into a prime (1055538431) 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, 1527207 + ... + 1527897.

It is an arithmetic number, because the mean of its divisors is an integer number (12376420).

Almost surely, 2^1055538432 is an apocalyptic number.

1055538432 is a gapful number since it is divisible by the number (12) 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 1055538432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782204480).

1055538432 is an abundant number, since it is smaller than the sum of its proper divisors (2508870528).

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

1055538432 is a wasteful number, since it uses less digits than its factorization.

1055538432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 1055538432 is about 32489.0509556681. The cubic root of 1055538432 is about 1018.1802849080.

The spelling of 1055538432 in words is "one billion, fifty-five million, five hundred thirty-eight thousand, four hundred thirty-two".