1478410880 has 64 divisors (see below), whose sum is σ = 3552935400. Its totient is φ = 588251136.

The previous prime is 1478410877. The next prime is 1478410883. The reversal of 1478410880 is 880148741.

It is an interprime number because it is at equal distance from previous prime (1478410877) and next prime (1478410883).

It can be written as a sum of positive squares in 4 ways, for example, as 654950464 + 823460416 = 25592^2 + 28696^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1478410883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117536 + ... + 129504.

Almost surely, 2^1478410880 is an apocalyptic number.

1478410880 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 1478410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776467700).

1478410880 is an abundant number, since it is smaller than the sum of its proper divisors (2074524520).

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

1478410880 is a wasteful number, since it uses less digits than its factorization.

1478410880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12181 (or 12169 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 41.

The square root of 1478410880 is about 38450.1089725374. The cubic root of 1478410880 is about 1139.1958214824.

The spelling of 1478410880 in words is "one billion, four hundred seventy-eight million, four hundred ten thousand, eight hundred eighty".