406330560 has 224 divisors, whose sum is σ = 1448409600. Its totient is φ = 107228160.

The previous prime is 406330517. The next prime is 406330591. The reversal of 406330560 is 65033604.

406330560 is a `hidden beast` number, since 40 + 63 + 3 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1131661 + ... + 1132019.

Almost surely, 2^406330560 is an apocalyptic number.

406330560 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 406330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724204800).

406330560 is an abundant number, since it is smaller than the sum of its proper divisors (1042079040).

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

406330560 is a wasteful number, since it uses less digits than its factorization.

406330560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 406330560 is about 20157.6427193261. The cubic root of 406330560 is about 740.6729694935.

The spelling of 406330560 in words is "four hundred six million, three hundred thirty thousand, five hundred sixty".