4520409600 has 480 divisors, whose sum is σ = 17389886976. Its totient is φ = 1013760000.

The previous prime is 4520409577. The next prime is 4520409601. The reversal of 4520409600 is 69040254.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4520409601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18009475 + ... + 18009725.

Almost surely, 2^4520409600 is an apocalyptic number.

4520409600 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 4520409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8694943488).

4520409600 is an abundant number, since it is smaller than the sum of its proper divisors (12869477376).

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

4520409600 is a wasteful number, since it uses less digits than its factorization.

4520409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4520409600 is about 67233.9914031586. The cubic root of 4520409600 is about 1653.4558239691.

Adding to 4520409600 its reverse (69040254), we get a palindrome (4589449854).

The spelling of 4520409600 in words is "four billion, five hundred twenty million, four hundred nine thousand, six hundred".