4052973600 has 864 divisors, whose sum is σ = 16890793920. Its totient is φ = 905748480.

The previous prime is 4052973593. The next prime is 4052973623. The reversal of 4052973600 is 63792504.

4052973600 is a `hidden beast` number, since 4 + 0 + 5 + 297 + 360 + 0 = 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 143 ways as a sum of consecutive naturals, for example, 76471174 + ... + 76471226.

It is an arithmetic number, because the mean of its divisors is an integer number (19549530).

Almost surely, 2^4052973600 is an apocalyptic number.

4052973600 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 4052973600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8445396960).

4052973600 is an abundant number, since it is smaller than the sum of its proper divisors (12837820320).

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

4052973600 is a wasteful number, since it uses less digits than its factorization.

4052973600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4052973600 is about 63662.9688280401. The cubic root of 4052973600 is about 1594.3778721042.

The spelling of 4052973600 in words is "four billion, fifty-two million, nine hundred seventy-three thousand, six hundred".