4005740 has 24 divisors (see below), whose sum is σ = 8573040. Its totient is φ = 1571648.

The previous prime is 4005733. The next prime is 4005767. The reversal of 4005740 is 475004.

4005740 = T₃₃₅ + T₃₃₆ + ... + T₃₉₄.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 830 + ... + 2949.

It is an arithmetic number, because the mean of its divisors is an integer number (357210).

Almost surely, 2^4005740 is an apocalyptic number.

It is an amenable number.

4005740 is an abundant number, since it is smaller than the sum of its proper divisors (4567300).

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

4005740 is a wasteful number, since it uses less digits than its factorization.

4005740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3841 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 4005740 is about 2001.4344855628. The cubic root of 4005740 is about 158.8159995892.

The spelling of 4005740 in words is "four million, five thousand, seven hundred forty".