406552560 has 80 divisors (see below), whose sum is σ = 1271957280. Its totient is φ = 107412480.

The previous prime is 406552547. The next prime is 406552561. The reversal of 406552560 is 65255604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406552561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18390 + ... + 33930.

It is an arithmetic number, because the mean of its divisors is an integer number (15899466).

Almost surely, 2^406552560 is an apocalyptic number.

406552560 is a gapful number since it is divisible by the number (40) 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 406552560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635978640).

406552560 is an abundant number, since it is smaller than the sum of its proper divisors (865404720).

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

406552560 is a wasteful number, since it uses less digits than its factorization.

406552560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15666 (or 15660 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 406552560 is about 20163.1485636544. The cubic root of 406552560 is about 740.8078346165.

The spelling of 406552560 in words is "four hundred six million, five hundred fifty-two thousand, five hundred sixty".