436545216 has 168 divisors, whose sum is σ = 1332555120. Its totient is φ = 136249344.

The previous prime is 436545199. The next prime is 436545229. The reversal of 436545216 is 612545634.

436545216 is a `hidden beast` number, since 436 + 5 + 4 + 5 + 216 = 666.

It is a super-2 number, since 2×436545216² = 381143451224973312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1236496 + ... + 1236848.

Almost surely, 2^436545216 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 436545216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666277560).

436545216 is an abundant number, since it is smaller than the sum of its proper divisors (896009904).

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

436545216 is a wasteful number, since it uses less digits than its factorization.

436545216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 490 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 436545216 is about 20893.6644942911. The cubic root of 436545216 is about 758.5945956880.

The spelling of 436545216 in words is "four hundred thirty-six million, five hundred forty-five thousand, two hundred sixteen".