4571952 has 80 divisors (see below), whose sum is σ = 14737152. Its totient is φ = 1186560.

The previous prime is 4571947. The next prime is 4571953. The reversal of 4571952 is 2591754.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (12600) is a multiple of the sum of its prime divisors (1260).

It is not an unprimeable number, because it can be changed into a prime (4571953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3078 + ... + 4314.

Almost surely, 2^4571952 is an apocalyptic number.

4571952 is a gapful number since it is divisible by the number (42) 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 4571952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7368576).

4571952 is an abundant number, since it is smaller than the sum of its proper divisors (10165200).

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

4571952 is a wasteful number, since it uses less digits than its factorization.

4571952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1260 counting only the distinct ones).

The product of its digits is 12600, while the sum is 33.

The square root of 4571952 is about 2138.2123374445. The cubic root of 4571952 is about 165.9716407740.

The spelling of 4571952 in words is "four million, five hundred seventy-one thousand, nine hundred fifty-two".