4527825120 has 576 divisors, whose sum is σ = 19251872640. Its totient is φ = 943570944.

The previous prime is 4527825031. The next prime is 4527825121. The reversal of 4527825120 is 215287254.

It is a happy number.

4527825120 is a `hidden beast` number, since 4 + 527 + 8 + 2 + 5 + 120 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4527825121) 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, 14283202 + ... + 14283518.

It is an arithmetic number, because the mean of its divisors is an integer number (33423390).

Almost surely, 2^4527825120 is an apocalyptic number.

4527825120 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 4527825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9625936320).

4527825120 is an abundant number, since it is smaller than the sum of its proper divisors (14724047520).

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

4527825120 is a wasteful number, since it uses less digits than its factorization.

4527825120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 4527825120 is about 67289.1159103759. The cubic root of 4527825120 is about 1654.3594689378.

The spelling of 4527825120 in words is "four billion, five hundred twenty-seven million, eight hundred twenty-five thousand, one hundred twenty".