1414431000 has 192 divisors, whose sum is σ = 4989366720. Its totient is φ = 360729600.

The previous prime is 1414430999. The next prime is 1414431001. The reversal of 1414431000 is 1344141.

It is an interprime number because it is at equal distance from previous prime (1414430999) and next prime (1414431001).

It is a super-2 number, since 2×1414431000² = 4001230107522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414431001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203584 + ... + 210416.

It is an arithmetic number, because the mean of its divisors is an integer number (25986285).

Almost surely, 2^1414431000 is an apocalyptic number.

1414431000 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 1414431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494683360).

1414431000 is an abundant number, since it is smaller than the sum of its proper divisors (3574935720).

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

1414431000 is a wasteful number, since it uses less digits than its factorization.

1414431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883 (or 6866 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1414431000 is about 37608.9218138462. The cubic root of 1414431000 is about 1122.5195721476.

Adding to 1414431000 its reverse (1344141), we get a palindrome (1415775141).

The spelling of 1414431000 in words is "one billion, four hundred fourteen million, four hundred thirty-one thousand".