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400244544 = 26337229163
BaseRepresentation
bin10111110110110…
…011111101000000
31000220010112022000
4113312303331000
51304430311134
6103414344000
712630010500
oct2766637500
91026115260
10400244544
11195a22717
12b205b000
1364bc89bb
143b229a00
1525210e99
hex17db3f40

400244544 has 336 divisors, whose sum is σ = 1424635200. Its totient is φ = 109734912.

The previous prime is 400244543. The next prime is 400244569. The reversal of 400244544 is 445442004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400244543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2455407 + ... + 2455569.

Almost surely, 2400244544 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 400244544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712317600).

400244544 is an abundant number, since it is smaller than the sum of its proper divisors (1024390656).

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

400244544 is a wasteful number, since it uses less digits than its factorization.

400244544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 400244544 is about 20006.1126658829. The cubic root of 400244544 is about 736.9564204394.

Adding to 400244544 its reverse (445442004), we get a palindrome (845686548).

The spelling of 400244544 in words is "four hundred million, two hundred forty-four thousand, five hundred forty-four".