4652232000 has 672 divisors, whose sum is σ = 17634898944. Its totient is φ = 1078272000.

The previous prime is 4652231981. The next prime is 4652232041. The reversal of 4652232000 is 2322564.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 125735982 + ... + 125736018.

Almost surely, 2^4652232000 is an apocalyptic number.

4652232000 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 4652232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8817449472).

4652232000 is an abundant number, since it is smaller than the sum of its proper divisors (12982666944).

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

4652232000 is a wasteful number, since it uses less digits than its factorization.

4652232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 4652232000 is about 68207.2723395387. The cubic root of 4652232000 is about 1669.3745491519.

Adding to 4652232000 its reverse (2322564), we get a palindrome (4654554564).

The spelling of 4652232000 in words is "four billion, six hundred fifty-two million, two hundred thirty-two thousand".