1414504080 has 320 divisors, whose sum is σ = 5462150400. Its totient is φ = 333434880.

The previous prime is 1414504079. The next prime is 1414504081. The reversal of 1414504080 is 804054141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1414504079) and next prime (1414504081).

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

It is not an unprimeable number, because it can be changed into a prime (1414504081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 878316 + ... + 879924.

It is an arithmetic number, because the mean of its divisors is an integer number (17069220).

Almost surely, 2^1414504080 is an apocalyptic number.

1414504080 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 1414504080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731075200).

1414504080 is an abundant number, since it is smaller than the sum of its proper divisors (4047646320).

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

1414504080 is a wasteful number, since it uses less digits than its factorization.

1414504080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1414504080 is about 37609.8933792692. The cubic root of 1414504080 is about 1122.5389043779.

It can be divided in two parts, 141450 and 4080, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 1414504080 in words is "one billion, four hundred fourteen million, five hundred four thousand, eighty".