4435920 has 120 divisors (see below), whose sum is σ = 15291432. Its totient is φ = 1152000.

The previous prime is 4435919. The next prime is 4435933. The reversal of 4435920 is 295344.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 4016016 = 648^2 + 2004^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43870 + ... + 43970.

Almost surely, 2^4435920 is an apocalyptic number.

4435920 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 4435920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7645716).

4435920 is an abundant number, since it is smaller than the sum of its proper divisors (10855512).

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

4435920 is a wasteful number, since it uses less digits than its factorization.

4435920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4435920 is about 2106.1623869018. The cubic root of 4435920 is about 164.3089555741.

The spelling of 4435920 in words is "four million, four hundred thirty-five thousand, nine hundred twenty".