1005550464 has 64 divisors (see below), whose sum is σ = 2690352000. Its totient is φ = 332754432.

The previous prime is 1005550463. The next prime is 1005550499. The reversal of 1005550464 is 4640555001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1005550464² = 2022263471301230592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005550463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43957 + ... + 62795.

It is an arithmetic number, because the mean of its divisors is an integer number (42036750).

Almost surely, 2^1005550464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005550464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345176000).

1005550464 is an abundant number, since it is smaller than the sum of its proper divisors (1684801536).

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

1005550464 is a wasteful number, since it uses less digits than its factorization.

1005550464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18995 (or 18983 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 1005550464 is about 31710.4157021002. The cubic root of 1005550464 is about 1001.8467421108.

The spelling of 1005550464 in words is "one billion, five million, five hundred fifty thousand, four hundred sixty-four".