4152750480 has 240 divisors, whose sum is σ = 14867624304. Its totient is φ = 1035141120.

The previous prime is 4152750479. The next prime is 4152750491. The reversal of 4152750480 is 840572514.

4152750480 is a `hidden beast` number, since 4 + 1 + 527 + 50 + 4 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4875264 + 4147875216 = 2208^2 + 64404^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1920600 + ... + 1922760.

Almost surely, 2^4152750480 is an apocalyptic number.

4152750480 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 4152750480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7433812152).

4152750480 is an abundant number, since it is smaller than the sum of its proper divisors (10714873824).

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

4152750480 is a wasteful number, since it uses less digits than its factorization.

4152750480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2345 counting only the distinct ones).

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

The square root of 4152750480 is about 64441.8379626156. The cubic root of 4152750480 is about 1607.3555188133.

The spelling of 4152750480 in words is "four billion, one hundred fifty-two million, seven hundred fifty thousand, four hundred eighty".