4007000 has 32 divisors (see below), whose sum is σ = 9378720. Its totient is φ = 1602400.

The previous prime is 4006993. The next prime is 4007021. The reversal of 4007000 is 7004.

It is a congruent number.

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, 1004 + ... + 3003.

It is an arithmetic number, because the mean of its divisors is an integer number (293085).

Almost surely, 2^4007000 is an apocalyptic number.

4007000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4007000 is an abundant number, since it is smaller than the sum of its proper divisors (5371720).

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

4007000 is a wasteful number, since it uses less digits than its factorization.

4007000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 11.

The square root of 4007000 is about 2001.7492350442. The cubic root of 4007000 is about 158.8326496282.

The spelling of 4007000 in words is "four million, seven thousand".