4379920 has 40 divisors (see below), whose sum is σ = 10385496. Its totient is φ = 1717248.

The previous prime is 4379917. The next prime is 4379923. The reversal of 4379920 is 299734.

It is an interprime number because it is at equal distance from previous prime (4379917) and next prime (4379923).

It can be written as a sum of positive squares in 4 ways, for example, as 1971216 + 2408704 = 1404^2 + 1552^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (4379923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3724 + ... + 4756.

Almost surely, 2^4379920 is an apocalyptic number.

4379920 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 4379920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192748).

4379920 is an abundant number, since it is smaller than the sum of its proper divisors (6005576).

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

4379920 is a wasteful number, since it uses less digits than its factorization.

4379920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 4379920 is about 2092.8258408191. The cubic root of 4379920 is about 163.6146016702.

It can be divided in two parts, 437 and 9920, that multiplied together give a triangular number (4335040 = T₂₉₄₄).

The spelling of 4379920 in words is "four million, three hundred seventy-nine thousand, nine hundred twenty".