400506606 has 40 divisors (see below), whose sum is σ = 898773480. Its totient is φ = 133302672.

The previous prime is 400506583. The next prime is 400506607. The reversal of 400506606 is 606605004.

400506606 is a `hidden beast` number, since 4 + 0 + 0 + 50 + 6 + 606 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 400506606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400506607) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 140665 + ... + 143483.

It is an arithmetic number, because the mean of its divisors is an integer number (22469337).

Almost surely, 2^400506606 is an apocalyptic number.

400506606 is an abundant number, since it is smaller than the sum of its proper divisors (498266874).

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

400506606 is a wasteful number, since it uses less digits than its factorization.

400506606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 400506606 is about 20012.6611423868. The cubic root of 400506606 is about 737.1172272438.

It can be divided in two parts, 40050 and 6606, that added together give a 6-th power (46656 = 6⁶).

The spelling of 400506606 in words is "four hundred million, five hundred six thousand, six hundred six".