4507090000 has 300 divisors, whose sum is σ = 13078588512. Its totient is φ = 1473120000.

The previous prime is 4507089971. The next prime is 4507090009. The reversal of 4507090000 is 907054.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4507090009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 67269967 + ... + 67270033.

Almost surely, 2^4507090000 is an apocalyptic number.

4507090000 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 4507090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6539294256).

4507090000 is an abundant number, since it is smaller than the sum of its proper divisors (8571498512).

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

4507090000 is an equidigital number, since it uses as much as digits as its factorization.

4507090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 4507090000 is about 67134.8642658939. The cubic root of 4507090000 is about 1651.8302311144.

Adding to 4507090000 its reverse (907054), we get a palindrome (4507997054).

The spelling of 4507090000 in words is "four billion, five hundred seven million, ninety thousand".