4532209920 has 864 divisors, whose sum is σ = 19386931200. Its totient is φ = 975421440.

The previous prime is 4532209909. The next prime is 4532209921. The reversal of 4532209920 is 299022354.

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

It is not an unprimeable number, because it can be changed into a prime (4532209921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122492142 + ... + 122492178.

Almost surely, 2^4532209920 is an apocalyptic number.

4532209920 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 4532209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9693465600).

4532209920 is an abundant number, since it is smaller than the sum of its proper divisors (14854721280).

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

4532209920 is a wasteful number, since it uses less digits than its factorization.

4532209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4532209920 is about 67321.6898183639. The cubic root of 4532209920 is about 1654.8933304743.

The spelling of 4532209920 in words is "four billion, five hundred thirty-two million, two hundred nine thousand, nine hundred twenty".