4783632 has 80 divisors (see below), whose sum is σ = 14760960. Its totient is φ = 1305216.

The previous prime is 4783631. The next prime is 4783643. The reversal of 4783632 is 2363874.

It is a super-2 number, since 2×4783632² = 45766270222848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 4783593 and 4783602.

It is not an unprimeable number, because it can be changed into a prime (4783631) 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, 7419 + ... + 8037.

It is an arithmetic number, because the mean of its divisors is an integer number (184512).

Almost surely, 2^4783632 is an apocalyptic number.

4783632 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 4783632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380480).

4783632 is an abundant number, since it is smaller than the sum of its proper divisors (9977328).

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

4783632 is a wasteful number, since it uses less digits than its factorization.

4783632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 654 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 4783632 is about 2187.1515722510. The cubic root of 4783632 is about 168.4945743424.

The spelling of 4783632 in words is "four million, seven hundred eighty-three thousand, six hundred thirty-two".