1414638200 has 48 divisors (see below), whose sum is σ = 3298166880. Its totient is φ = 564284160.

The previous prime is 1414638163. The next prime is 1414638229. The reversal of 1414638200 is 28364141.

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, 63764 + ... + 83036.

It is an arithmetic number, because the mean of its divisors is an integer number (68711810).

Almost surely, 2^1414638200 is an apocalyptic number.

1414638200 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 1414638200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649083440).

1414638200 is an abundant number, since it is smaller than the sum of its proper divisors (1883528680).

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

1414638200 is a wasteful number, since it uses less digits than its factorization.

1414638200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19656 (or 19647 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 1414638200 is about 37611.6763784865. The cubic root of 1414638200 is about 1122.5743821028.

The spelling of 1414638200 in words is "one billion, four hundred fourteen million, six hundred thirty-eight thousand, two hundred".