1005253400 has 48 divisors (see below), whose sum is σ = 2339366640. Its totient is φ = 401731200.

The previous prime is 1005253397. The next prime is 1005253453. The reversal of 1005253400 is 43525001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346757 + ... + 349643.

It is an arithmetic number, because the mean of its divisors is an integer number (48736805).

Almost surely, 2^1005253400 is an apocalyptic number.

1005253400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005253400 is an abundant number, since it is smaller than the sum of its proper divisors (1334113240).

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

1005253400 is a wasteful number, since it uses less digits than its factorization.

1005253400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4644 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 1005253400 is about 31705.7313430869. The cubic root of 1005253400 is about 1001.7480757838.

Adding to 1005253400 its reverse (43525001), we get a palindrome (1048778401).

The spelling of 1005253400 in words is "one billion, five million, two hundred fifty-three thousand, four hundred".