1001405200 has 30 divisors (see below), whose sum is σ = 2405876954. Its totient is φ = 400561920.

The previous prime is 1001405159. The next prime is 1001405221. The reversal of 1001405200 is 25041001.

It can be written as a sum of positive squares in 3 ways, for example, as 30958096 + 970447104 = 5564^2 + 31152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1251357 + ... + 1252156.

Almost surely, 2^1001405200 is an apocalyptic number.

1001405200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001405200 is an abundant number, since it is smaller than the sum of its proper divisors (1404471754).

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

1001405200 is a wasteful number, since it uses less digits than its factorization.

1001405200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503531 (or 2503520 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1001405200 is about 31644.9869647627. The cubic root of 1001405200 is about 1000.4681807726.

Adding to 1001405200 its reverse (25041001), we get a palindrome (1026446201).

The spelling of 1001405200 in words is "one billion, one million, four hundred five thousand, two hundred".