1074528400 has 135 divisors (see below), whose sum is σ = 2856748363. Its totient is φ = 388115200.

The previous prime is 1074528383. The next prime is 1074528407. The reversal of 1074528400 is 48254701.

The square root of 1074528400 is 32780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 320696464 + 753831936 = 17908^2 + 27456^2 .

It is a super-2 number, since 2×1074528400² = 2309222564813120000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1074528407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7211526 + ... + 7211674.

Almost surely, 2^1074528400 is an apocalyptic number.

1074528400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1074528400 is the 32780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074528400

1074528400 is an abundant number, since it is smaller than the sum of its proper divisors (1782219963).

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

1074528400 is a wasteful number, since it uses less digits than its factorization.

1074528400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The cubic root of 1074528400 is about 1024.2499847437.

The spelling of 1074528400 in words is "one billion, seventy-four million, five hundred twenty-eight thousand, four hundred".