405448416 has 144 divisors (see below), whose sum is σ = 1248234624. Its totient is φ = 129216384.

The previous prime is 405448403. The next prime is 405448451. The reversal of 405448416 is 614844504.

It is a happy number.

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 a congruent number.

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, 177715 + ... + 179981.

It is an arithmetic number, because the mean of its divisors is an integer number (8668296).

Almost surely, 2^405448416 is an apocalyptic number.

405448416 is a gapful number since it is divisible by the number (46) 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 405448416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624117312).

405448416 is an abundant number, since it is smaller than the sum of its proper divisors (842786208).

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

405448416 is a wasteful number, since it uses less digits than its factorization.

405448416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 405448416 is about 20135.7497004706. The cubic root of 405448416 is about 740.1365805850.

The spelling of 405448416 in words is "four hundred five million, four hundred forty-eight thousand, four hundred sixteen".