1414347480 has 672 divisors, whose sum is σ = 6048574560. Its totient is φ = 291133440.

The previous prime is 1414347463. The next prime is 1414347497. The reversal of 1414347480 is 847434141.

It is a happy number.

1414347480 is a `hidden beast` number, since 141 + 4 + 34 + 7 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1414347463) and next prime (1414347497).

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 polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 34496260 + ... + 34496300.

It is an arithmetic number, because the mean of its divisors is an integer number (9000855).

Almost surely, 2^1414347480 is an apocalyptic number.

1414347480 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 1414347480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024287280).

1414347480 is an abundant number, since it is smaller than the sum of its proper divisors (4634227080).

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

1414347480 is a wasteful number, since it uses less digits than its factorization.

1414347480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1414347480 is about 37607.8114226287. The cubic root of 1414347480 is about 1122.4974773547.

The spelling of 1414347480 in words is "one billion, four hundred fourteen million, three hundred forty-seven thousand, four hundred eighty".