4087440 has 120 divisors (see below), whose sum is σ = 15707328. Its totient is φ = 933120.

The previous prime is 4087439. The next prime is 4087453. The reversal of 4087440 is 447804.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 4635 + ... + 5445.

Almost surely, 2^4087440 is an apocalyptic number.

4087440 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 4087440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7853664).

4087440 is an abundant number, since it is smaller than the sum of its proper divisors (11619888).

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

4087440 is a wasteful number, since it uses less digits than its factorization.

4087440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4087440 is about 2021.7418232801. The cubic root of 4087440 is about 159.8884639329. Note that the first 3 decimals are identical.

The spelling of 4087440 in words is "four million, eighty-seven thousand, four hundred forty".