1409942200 has 48 divisors (see below), whose sum is σ = 3295190880. Its totient is φ = 561039360.

The previous prime is 1409942137. The next prime is 1409942231. The reversal of 1409942200 is 22499041.

It is a happy number.

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, 20337 + ... + 56863.

It is an arithmetic number, because the mean of its divisors is an integer number (68649810).

Almost surely, 2^1409942200 is an apocalyptic number.

1409942200 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 1409942200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647595440).

1409942200 is an abundant number, since it is smaller than the sum of its proper divisors (1885248680).

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

1409942200 is a wasteful number, since it uses less digits than its factorization.

1409942200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36736 (or 36727 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 1409942200 is about 37549.1970619879. The cubic root of 1409942200 is about 1121.3308478313.

The spelling of 1409942200 in words is "one billion, four hundred nine million, nine hundred forty-two thousand, two hundred".