400627776 has 56 divisors (see below), whose sum is σ = 1066007520. Its totient is φ = 132785152.

The previous prime is 400627771. The next prime is 400627783. The reversal of 400627776 is 677726004.

It is a happy number.

It is a super-2 number, since 2×400627776² = 321005229805412352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (400627771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28540 + ... + 40196.

Almost surely, 2^400627776 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 400627776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533003760).

400627776 is an abundant number, since it is smaller than the sum of its proper divisors (665379744).

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

400627776 is a wasteful number, since it uses less digits than its factorization.

400627776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11851 (or 11841 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 400627776 is about 20015.6882469727. The cubic root of 400627776 is about 737.1915560125.

The spelling of 400627776 in words is "four hundred million, six hundred twenty-seven thousand, seven hundred seventy-six".