1000550400 has 156 divisors (see below), whose sum is σ = 3309098472. Its totient is φ = 266731520.

The previous prime is 1000550399. The next prime is 1000550413. The reversal of 1000550400 is 40550001.

It is a super-2 number, since 2×1000550400² = 2002202205880320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1000550400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305572 + ... + 308828.

Almost surely, 2^1000550400 is an apocalyptic number.

1000550400 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 1000550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654549236).

1000550400 is an abundant number, since it is smaller than the sum of its proper divisors (2308548072).

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

1000550400 is an equidigital number, since it uses as much as digits as its factorization.

1000550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 1000550400 is about 31631.4779926579. The cubic root of 1000550400 is about 1000.1834330169.

The spelling of 1000550400 in words is "one billion, five hundred fifty thousand, four hundred".