406186560 has 336 divisors, whose sum is σ = 1586544960. Its totient is φ = 94556160.

The previous prime is 406186519. The next prime is 406186567. The reversal of 406186560 is 65681604.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (406186567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711075 + ... + 711645.

It is an arithmetic number, because the mean of its divisors is an integer number (4721860).

Almost surely, 2^406186560 is an apocalyptic number.

406186560 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 406186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793272480).

406186560 is an abundant number, since it is smaller than the sum of its proper divisors (1180358400).

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

406186560 is a wasteful number, since it uses less digits than its factorization.

406186560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 406186560 is about 20154.0705565898. The cubic root of 406186560 is about 740.5854631461.

It can be divided in two parts, 406 and 186560, that added together give a triangular number (186966 = T₆₁₁).

The spelling of 406186560 in words is "four hundred six million, one hundred eighty-six thousand, five hundred sixty".