400066728 has 64 divisors (see below), whose sum is σ = 1021248000. Its totient is φ = 130564032.

The previous prime is 400066697. The next prime is 400066739. The reversal of 400066728 is 827660004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507951 + ... + 508737.

It is an arithmetic number, because the mean of its divisors is an integer number (15957000).

Almost surely, 2^400066728 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 400066728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510624000).

400066728 is an abundant number, since it is smaller than the sum of its proper divisors (621181272).

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

400066728 is a wasteful number, since it uses less digits than its factorization.

400066728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 400066728 is about 20001.6681304335. The cubic root of 400066728 is about 736.8472687923.

The spelling of 400066728 in words is "four hundred million, sixty-six thousand, seven hundred twenty-eight".