1414048384 has 64 divisors (see below), whose sum is σ = 3323404800. Its totient is φ = 586460160.

The previous prime is 1414048369. The next prime is 1414048387. The reversal of 1414048384 is 4838404141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1414048384² = 3999065664586022912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1414048387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2322 + ... + 53230.

It is an arithmetic number, because the mean of its divisors is an integer number (51928200).

Almost surely, 2^1414048384 is an apocalyptic number.

1414048384 is a gapful number since it is divisible by the number (14) 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 1414048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661702400).

1414048384 is an abundant number, since it is smaller than the sum of its proper divisors (1909356416).

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

1414048384 is an equidigital number, since it uses as much as digits as its factorization.

1414048384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50961 (or 50949 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 1414048384 is about 37603.8346980730. The cubic root of 1414048384 is about 1122.4183458873.

The spelling of 1414048384 in words is "one billion, four hundred fourteen million, forty-eight thousand, three hundred eighty-four".