1035552400 has 45 divisors (see below), whose sum is σ = 2489461851. Its totient is φ = 413963520.

The previous prime is 1035552379. The next prime is 1035552431. The reversal of 1035552400 is 42555301.

The square root of 1035552400 is 32180.

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

1035552400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 232623504 + 802928896 = 15252^2 + 28336^2 .

It is a super-3 number, since 3×1035552400³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 642796 + ... + 644404.

Almost surely, 2^1035552400 is an apocalyptic number.

1035552400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1035552400 is the 32180-th square number.

It is an amenable number.

1035552400 is an abundant number, since it is smaller than the sum of its proper divisors (1453909451).

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

1035552400 is an frugal number, since it uses more digits than its factorization.

1035552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The cubic root of 1035552400 is about 1011.7130683675.

Multiplying 1035552400 by its sum of digits (25), we get a square (25888810000 = 160900²).

1035552400 divided by its sum of digits (25) gives a square (41422096 = 6436²).

The spelling of 1035552400 in words is "one billion, thirty-five million, five hundred fifty-two thousand, four hundred".