400426752 has 216 divisors, whose sum is σ = 1217896960. Its totient is φ = 116582400.

The previous prime is 400426679. The next prime is 400426769. The reversal of 400426752 is 257624004.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2880699 + ... + 2880837.

Almost surely, 2^400426752 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 400426752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608948480).

400426752 is an abundant number, since it is smaller than the sum of its proper divisors (817470208).

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

400426752 is a wasteful number, since it uses less digits than its factorization.

400426752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 400426752 is about 20010.6659559346. The cubic root of 400426752 is about 737.0682345675.

The spelling of 400426752 in words is "four hundred million, four hundred twenty-six thousand, seven hundred fifty-two".