406136376 has 128 divisors (see below), whose sum is σ = 1172160000. Its totient is φ = 130201344.

The previous prime is 406136359. The next prime is 406136389. The reversal of 406136376 is 673631604.

It is a happy number.

406136376 is a `hidden beast` number, since 4 + 0 + 6 + 13 + 637 + 6 = 666.

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 406136376.

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, 677725 + ... + 678323.

It is an arithmetic number, because the mean of its divisors is an integer number (9157500).

Almost surely, 2^406136376 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 406136376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586080000).

406136376 is an abundant number, since it is smaller than the sum of its proper divisors (766023624).

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

406136376 is a wasteful number, since it uses less digits than its factorization.

406136376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 406136376 is about 20152.8255090943. The cubic root of 406136376 is about 740.5549623243.

The spelling of 406136376 in words is "four hundred six million, one hundred thirty-six thousand, three hundred seventy-six".