1414663920 has 320 divisors, whose sum is σ = 5174906880. Its totient is φ = 354585600.

The previous prime is 1414663919. The next prime is 1414663933. The reversal of 1414663920 is 293664141.

1414663920 is a `hidden beast` number, since 1 + 4 + 14 + 6 + 639 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2477235 + ... + 2477805.

It is an arithmetic number, because the mean of its divisors is an integer number (16171584).

Almost surely, 2^1414663920 is an apocalyptic number.

1414663920 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 1414663920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587453440).

1414663920 is an abundant number, since it is smaller than the sum of its proper divisors (3760242960).

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

1414663920 is a wasteful number, since it uses less digits than its factorization.

1414663920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1414663920 is about 37612.0182920300. The cubic root of 1414663920 is about 1122.5811853590.

The spelling of 1414663920 in words is "one billion, four hundred fourteen million, six hundred sixty-three thousand, nine hundred twenty".