4793964 has 72 divisors (see below), whose sum is σ = 13483008. Its totient is φ = 1320480.

The previous prime is 4793963. The next prime is 4793969. The reversal of 4793964 is 4693974.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 4² + 7⁴ + 9 + 3¹⁴ + 9³ + 6⁵ + 4³ .

It is not an unprimeable number, because it can be changed into a prime (4793963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18097 + ... + 18359.

It is an arithmetic number, because the mean of its divisors is an integer number (187264).

Almost surely, 2^4793964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4793964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6741504).

4793964 is an abundant number, since it is smaller than the sum of its proper divisors (8689044).

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

4793964 is a wasteful number, since it uses less digits than its factorization.

4793964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 306 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 4793964 is about 2189.5122744575. The cubic root of 4793964 is about 168.6157956295.

The spelling of 4793964 in words is "four million, seven hundred ninety-three thousand, nine hundred sixty-four".