4531650480 has 480 divisors, whose sum is σ = 18817843200. Its totient is φ = 954021888.

The previous prime is 4531650437. The next prime is 4531650493. The reversal of 4531650480 is 840561354.

It is a happy number.

4531650480 is a `hidden beast` number, since 45 + 31 + 6 + 504 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3542481 + ... + 3543759.

It is an arithmetic number, because the mean of its divisors is an integer number (39203840).

Almost surely, 2^4531650480 is an apocalyptic number.

4531650480 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 4531650480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9408921600).

4531650480 is an abundant number, since it is smaller than the sum of its proper divisors (14286192720).

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

4531650480 is a wasteful number, since it uses less digits than its factorization.

4531650480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4531650480 is about 67317.5347142184. The cubic root of 4531650480 is about 1654.8252362748.

The spelling of 4531650480 in words is "four billion, five hundred thirty-one million, six hundred fifty thousand, four hundred eighty".