1057332240 has 60 divisors (see below), whose sum is σ = 3550876524. Its totient is φ = 281955072.

The previous prime is 1057332233. The next prime is 1057332247. The reversal of 1057332240 is 422337501.

It is an interprime number because it is at equal distance from previous prime (1057332233) and next prime (1057332247).

It can be written as a sum of positive squares in 2 ways, for example, as 216796176 + 840536064 = 14724^2 + 28992^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1057332240² = 2235902931486835200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057332247) 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 11 ways as a sum of consecutive naturals, for example, 733539 + ... + 734978.

Almost surely, 2^1057332240 is an apocalyptic number.

1057332240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057332240 is an abundant number, since it is smaller than the sum of its proper divisors (2493544284).

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

1057332240 is a wasteful number, since it uses less digits than its factorization.

1057332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468536 (or 1468527 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 1057332240 is about 32516.6455834546. The cubic root of 1057332240 is about 1018.7567320368.

Adding to 1057332240 its reverse (422337501), we get a palindrome (1479669741).

The spelling of 1057332240 in words is "one billion, fifty-seven million, three hundred thirty-two thousand, two hundred forty".