1414710900 has 144 divisors (see below), whose sum is σ = 4572624000. Its totient is φ = 375217920.

The previous prime is 1414710851. The next prime is 1414710919. The reversal of 1414710900 is 90174141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 535984 + ... + 538616.

Almost surely, 2^1414710900 is an apocalyptic number.

1414710900 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 1414710900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286312000).

1414710900 is an abundant number, since it is smaller than the sum of its proper divisors (3157913100).

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

1414710900 is a wasteful number, since it uses less digits than its factorization.

1414710900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1414710900 is about 37612.6428212642. The cubic root of 1414710900 is about 1122.5936119336.

The spelling of 1414710900 in words is "one billion, four hundred fourteen million, seven hundred ten thousand, nine hundred".