1054525440 has 96 divisors (see below), whose sum is σ = 3373755840. Its totient is φ = 281198592.

The previous prime is 1054525429. The next prime is 1054525447. The reversal of 1054525440 is 445254501.

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

It is a super-2 number, since 2×1054525440² = 2224047807214387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 1054525398 and 1054525407.

It is not an unprimeable number, because it can be changed into a prime (1054525447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13557 + ... + 47883.

It is an arithmetic number, because the mean of its divisors is an integer number (35143290).

Almost surely, 2^1054525440 is an apocalyptic number.

1054525440 is a gapful number since it is divisible by the number (10) 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 1054525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686877920).

1054525440 is an abundant number, since it is smaller than the sum of its proper divisors (2319230400).

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

1054525440 is an equidigital number, since it uses as much as digits as its factorization.

1054525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34357 (or 34337 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 1054525440 is about 32473.4574691393. The cubic root of 1054525440 is about 1017.8544674317.

Adding to 1054525440 its reverse (445254501), we get a palindrome (1499779941).

The spelling of 1054525440 in words is "one billion, fifty-four million, five hundred twenty-five thousand, four hundred forty".