4007280 has 80 divisors (see below), whose sum is σ = 12677760. Its totient is φ = 1046784.

The previous prime is 4007279. The next prime is 4007281. The reversal of 4007280 is 827004.

It is a happy number.

4007280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4007279) and next prime (4007281).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14019 + ... + 14301.

It is an arithmetic number, because the mean of its divisors is an integer number (158472).

Almost surely, 2^4007280 is an apocalyptic number.

4007280 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 4007280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6338880).

4007280 is an abundant number, since it is smaller than the sum of its proper divisors (8670480).

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

4007280 is a wasteful number, since it uses less digits than its factorization.

4007280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 4007280 is about 2001.8191726527. The cubic root of 4007280 is about 158.8363491629.

The spelling of 4007280 in words is "four million, seven thousand, two hundred eighty".