406552416 has 96 divisors (see below), whose sum is σ = 1179214848. Its totient is φ = 121989120.

The previous prime is 406552381. The next prime is 406552483. The reversal of 406552416 is 614255604.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32121 + ... + 42951.

It is an arithmetic number, because the mean of its divisors is an integer number (12283488).

Almost surely, 2^406552416 is an apocalyptic number.

406552416 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 406552416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589607424).

406552416 is an abundant number, since it is smaller than the sum of its proper divisors (772662432).

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

406552416 is a wasteful number, since it uses less digits than its factorization.

406552416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10884 (or 10876 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 406552416 is about 20163.1449927832. The cubic root of 406552416 is about 740.8077471523.

It can be divided in two parts, 40655 and 2416, that added together give a triangular number (43071 = T₂₉₃).

The spelling of 406552416 in words is "four hundred six million, five hundred fifty-two thousand, four hundred sixteen".