400606128 has 80 divisors (see below), whose sum is σ = 1238358240. Its totient is φ = 123261696.

The previous prime is 400606109. The next prime is 400606147. The reversal of 400606128 is 821606004.

400606128 is a `hidden beast` number, since 40 + 0 + 6 + 0 + 612 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (400606109) and next prime (400606147).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30051 + ... + 41282.

It is an arithmetic number, because the mean of its divisors is an integer number (15479478).

Almost surely, 2^400606128 is an apocalyptic number.

400606128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

400606128 is an abundant number, since it is smaller than the sum of its proper divisors (837752112).

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

400606128 is a wasteful number, since it uses less digits than its factorization.

400606128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71363 (or 71351 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 400606128 is about 20015.1474638585. The cubic root of 400606128 is about 737.1782776768.

The spelling of 400606128 in words is "four hundred million, six hundred six thousand, one hundred twenty-eight".