1005026464 has 48 divisors (see below), whose sum is σ = 2134739880. Its totient is φ = 463011840.

The previous prime is 1005026461. The next prime is 1005026471. The reversal of 1005026464 is 4646205001.

It can be written as a sum of positive squares in 4 ways, for example, as 974688400 + 30338064 = 31220^2 + 5508^2 .

It is not an unprimeable number, because it can be changed into a prime (1005026461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264772 + ... + 268540.

Almost surely, 2^1005026464 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 1005026464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067369940).

1005026464 is an abundant number, since it is smaller than the sum of its proper divisors (1129713416).

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

1005026464 is a wasteful number, since it uses less digits than its factorization.

1005026464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4433 (or 4425 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 1005026464 is about 31702.1523559521. The cubic root of 1005026464 is about 1001.6726885530.

It can be divided in two parts, 100 and 5026464, that added together give a square (5026564 = 2242²).

The spelling of 1005026464 in words is "one billion, five million, twenty-six thousand, four hundred sixty-four".