1414312220 has 48 divisors (see below), whose sum is σ = 3084304608. Its totient is φ = 544343040.

The previous prime is 1414312217. The next prime is 1414312279. The reversal of 1414312220 is 222134141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1414312192 and 1414312201.

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 15 ways as a sum of consecutive naturals, for example, 48047 + ... + 71673.

It is an arithmetic number, because the mean of its divisors is an integer number (64256346).

Almost surely, 2^1414312220 is an apocalyptic number.

1414312220 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 1414312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542152304).

1414312220 is an abundant number, since it is smaller than the sum of its proper divisors (1669992388).

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

1414312220 is a wasteful number, since it uses less digits than its factorization.

1414312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23750 (or 23748 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1414312220 is about 37607.3426341187. The cubic root of 1414312220 is about 1122.4881492392.

Adding to 1414312220 its reverse (222134141), we get a palindrome (1636446361).

The spelling of 1414312220 in words is "one billion, four hundred fourteen million, three hundred twelve thousand, two hundred twenty".