1409131000 has 64 divisors (see below), whose sum is σ = 3310800480. Its totient is φ = 561356800.

The previous prime is 1409130997. The next prime is 1409131013. The reversal of 1409131000 is 1319041.

It is a happy number.

It is a super-2 number, since 2×1409131000² = 3971300350322000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254259 + ... + 259741.

Almost surely, 2^1409131000 is an apocalyptic number.

1409131000 is a gapful number since it is divisible by the number (10) 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 1409131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655400240).

1409131000 is an abundant number, since it is smaller than the sum of its proper divisors (1901669480).

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

1409131000 is a wasteful number, since it uses less digits than its factorization.

1409131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 1409131000 is about 37538.3936790055. The cubic root of 1409131000 is about 1121.1157567238.

The spelling of 1409131000 in words is "one billion, four hundred nine million, one hundred thirty-one thousand".