1005455464 has 64 divisors (see below), whose sum is σ = 2136309840. Its totient is φ = 440432640.

The previous prime is 1005455461. The next prime is 1005455483. The reversal of 1005455464 is 4645545001.

1005455464 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 8 ways, for example, as 430894564 + 574560900 = 20758^2 + 23970^2 .

It is not an unprimeable number, because it can be changed into a prime (1005455461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154582 + ... + 160954.

Almost surely, 2^1005455464 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 1005455464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068154920).

1005455464 is an abundant number, since it is smaller than the sum of its proper divisors (1130854376).

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

1005455464 is a wasteful number, since it uses less digits than its factorization.

1005455464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6470 (or 6466 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The square root of 1005455464 is about 31708.9177361827. The cubic root of 1005455464 is about 1001.8151910877.

The spelling of 1005455464 in words is "one billion, five million, four hundred fifty-five thousand, four hundred sixty-four".