4152297600 has 768 divisors, whose sum is σ = 17621193600. Its totient is φ = 943718400.

The previous prime is 4152297599. The next prime is 4152297631. The reversal of 4152297600 is 67922514.

4152297600 is a `hidden beast` number, since 41 + 5 + 2 + 2 + 9 + 7 + 600 = 666.

4152297600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 16156672 + ... + 16156928.

Almost surely, 2^4152297600 is an apocalyptic number.

4152297600 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 4152297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8810596800).

4152297600 is an abundant number, since it is smaller than the sum of its proper divisors (13468896000).

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

4152297600 is a wasteful number, since it uses less digits than its factorization.

4152297600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4152297600 is about 64438.3240005511. The cubic root of 4152297600 is about 1607.2970864053.

The spelling of 4152297600 in words is "four billion, one hundred fifty-two million, two hundred ninety-seven thousand, six hundred".