1005457248 has 144 divisors (see below), whose sum is σ = 3051594000. Its totient is φ = 312926208.

The previous prime is 1005457217. The next prime is 1005457273. The reversal of 1005457248 is 8427545001.

1005457248 is a `hidden beast` number, since 1 + 0 + 0 + 545 + 72 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670003 + ... + 671501.

It is an arithmetic number, because the mean of its divisors is an integer number (21191625).

Almost surely, 2^1005457248 is an apocalyptic number.

1005457248 is a gapful number since it is divisible by the number (18) 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 1005457248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525797000).

1005457248 is an abundant number, since it is smaller than the sum of its proper divisors (2046136752).

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

1005457248 is a wasteful number, since it uses less digits than its factorization.

1005457248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 1005457248 is about 31708.9458670578. The cubic root of 1005457248 is about 1001.8157836010.

The spelling of 1005457248 in words is "one billion, five million, four hundred fifty-seven thousand, two hundred forty-eight".