1408480416 has 144 divisors (see below), whose sum is σ = 4591012608. Its totient is φ = 401241600.

The previous prime is 1408480399. The next prime is 1408480427. The reversal of 1408480416 is 6140848041.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 868086 + ... + 869706.

It is an arithmetic number, because the mean of its divisors is an integer number (31882032).

Almost surely, 2^1408480416 is an apocalyptic number.

1408480416 is a gapful number since it is divisible by the number (16) 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 1408480416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295506304).

1408480416 is an abundant number, since it is smaller than the sum of its proper divisors (3182532192).

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

1408480416 is a wasteful number, since it uses less digits than its factorization.

1408480416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1408480416 is about 37529.7270973291. The cubic root of 1408480416 is about 1120.9431935739.

The spelling of 1408480416 in words is "one billion, four hundred eight million, four hundred eighty thousand, four hundred sixteen".