4240000 has 80 divisors (see below), whose sum is σ = 10754370. Its totient is φ = 1664000.

The previous prime is 4239997. The next prime is 4240007. The reversal of 4240000 is 424.

It can be written as a sum of positive squares in 5 ways, for example, as 207936 + 4032064 = 456^2 + 2008^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4240007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79974 + ... + 80026.

Almost surely, 2^4240000 is an apocalyptic number.

4240000 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 4240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377185).

4240000 is an abundant number, since it is smaller than the sum of its proper divisors (6514370).

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

4240000 is an frugal number, since it uses more digits than its factorization.

4240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 4240000 is about 2059.1260281974. The cubic root of 4240000 is about 161.8534466913.

Adding to 4240000 its reverse (424), we get a palindrome (4240424).

Multiplying 4240000 by its reverse (424), we get a square (1797760000 = 42400²).

4240000 divided by its reverse (424) gives a 4-th power (10000 = 10⁴).

The spelling of 4240000 in words is "four million, two hundred forty thousand".