400626720 has 144 divisors (see below), whose sum is σ = 1472371992. Its totient is φ = 98611200.

The previous prime is 400626683. The next prime is 400626727. The reversal of 400626720 is 27626004.

It can be written as a sum of positive squares in 4 ways, for example, as 189447696 + 211179024 = 13764^2 + 14532^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (400626727) 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 23 ways as a sum of consecutive naturals, for example, 8020 + ... + 29420.

Almost surely, 2^400626720 is an apocalyptic number.

400626720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400626720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736185996).

400626720 is an abundant number, since it is smaller than the sum of its proper divisors (1071745272).

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

400626720 is a wasteful number, since it uses less digits than its factorization.

400626720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21435 (or 21424 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 400626720 is about 20015.6618676475. The cubic root of 400626720 is about 737.1909082999.

The spelling of 400626720 in words is "four hundred million, six hundred twenty-six thousand, seven hundred twenty".