406880136 has 192 divisors, whose sum is σ = 1265846400. Its totient is φ = 117033984.

The previous prime is 406880129. The next prime is 406880161. The reversal of 406880136 is 631088604.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 406880136.

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, 2436325 + ... + 2436491.

It is an arithmetic number, because the mean of its divisors is an integer number (6592950).

Almost surely, 2^406880136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406880136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632923200).

406880136 is an abundant number, since it is smaller than the sum of its proper divisors (858966264).

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

406880136 is a wasteful number, since it uses less digits than its factorization.

406880136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 406880136 is about 20171.2700641283. The cubic root of 406880136 is about 741.0067475769.

The spelling of 406880136 in words is "four hundred six million, eight hundred eighty thousand, one hundred thirty-six".