436480808400 has 720 divisors, whose sum is σ = 1902374073600. Its totient is φ = 92089267200.

The previous prime is 436480808389. The next prime is 436480808431. The reversal of 436480808400 is 4808084634.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×436480808400² (a number of 24 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 16038805 + ... + 16065995.

Almost surely, 2^436480808400 is an apocalyptic number.

436480808400 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 436480808400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951187036800).

436480808400 is an abundant number, since it is smaller than the sum of its proper divisors (1465893265200).

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

436480808400 is a wasteful number, since it uses less digits than its factorization.

436480808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27249 (or 27221 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 436480808400 in words is "four hundred thirty-six billion, four hundred eighty million, eight hundred eight thousand, four hundred".