1414787920 has 160 divisors (see below), whose sum is σ = 4179732480. Its totient is φ = 433244160.

The previous prime is 1414787917. The next prime is 1414787921. The reversal of 1414787920 is 297874141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414787921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222546 + ... + 228814.

It is an arithmetic number, because the mean of its divisors is an integer number (26123328).

Almost surely, 2^1414787920 is an apocalyptic number.

1414787920 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 1414787920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089866240).

1414787920 is an abundant number, since it is smaller than the sum of its proper divisors (2764944560).

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

1414787920 is a wasteful number, since it uses less digits than its factorization.

1414787920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6333 (or 6327 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The square root of 1414787920 is about 37613.6666651897. Note that the first 5 decimals coincide. The cubic root of 1414787920 is about 1122.6139837261.

The spelling of 1414787920 in words is "one billion, four hundred fourteen million, seven hundred eighty-seven thousand, nine hundred twenty".