436868640 has 240 divisors, whose sum is σ = 1661021208. Its totient is φ = 107495424.

The previous prime is 436868639. The next prime is 436868651. The reversal of 436868640 is 46868634.

It can be written as a sum of positive squares in 4 ways, for example, as 294877584 + 141991056 = 17172^2 + 11916^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167184 + ... + 169776.

Almost surely, 2^436868640 is an apocalyptic number.

436868640 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 436868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830510604).

436868640 is an abundant number, since it is smaller than the sum of its proper divisors (1224152568).

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

436868640 is a wasteful number, since it uses less digits than its factorization.

436868640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 436868640 is about 20901.4028237341. The cubic root of 436868640 is about 758.7818898667.

It can be divided in two parts, 43686 and 8640, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 436868640 in words is "four hundred thirty-six million, eight hundred sixty-eight thousand, six hundred forty".