4205453616 has 540 divisors, whose sum is σ = 15683496192. Its totient is φ = 1042481664.

The previous prime is 4205453573. The next prime is 4205453663. The reversal of 4205453616 is 6163545024.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 33113745 + ... + 33113871.

Almost surely, 2^4205453616 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 4205453616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7841748096).

4205453616 is an abundant number, since it is smaller than the sum of its proper divisors (11478042576).

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

4205453616 is a wasteful number, since it uses less digits than its factorization.

4205453616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 171 counting only the distinct ones).

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

The square root of 4205453616 is about 64849.4688952809. The cubic root of 4205453616 is about 1614.1266789272.

The spelling of 4205453616 in words is "four billion, two hundred five million, four hundred fifty-three thousand, six hundred sixteen".