406359360 has 336 divisors, whose sum is σ = 1551992832. Its totient is φ = 96768000.

The previous prime is 406359353. The next prime is 406359389. The reversal of 406359360 is 63953604.

406359360 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 593 + 60 = 666.

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 47 ways as a sum of consecutive naturals, for example, 3199617 + ... + 3199743.

Almost surely, 2^406359360 is an apocalyptic number.

406359360 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 406359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775996416).

406359360 is an abundant number, since it is smaller than the sum of its proper divisors (1145633472).

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

406359360 is a wasteful number, since it uses less digits than its factorization.

406359360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 406359360 is about 20158.3570759127. The cubic root of 406359360 is about 740.6904682820.

The spelling of 406359360 in words is "four hundred six million, three hundred fifty-nine thousand, three hundred sixty".