4290000 has 200 divisors, whose sum is σ = 16269792. Its totient is φ = 960000.

The previous prime is 4289977. The next prime is 4290017. The reversal of 4290000 is 924.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 329994 + ... + 330006.

Almost surely, 2^4290000 is an apocalyptic number.

4290000 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 4290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8134896).

4290000 is an abundant number, since it is smaller than the sum of its proper divisors (11979792).

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

4290000 is a wasteful number, since it uses less digits than its factorization.

4290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4290000 is about 2071.2315177208. The cubic root of 4290000 is about 162.4871784756.

Adding to 4290000 its reverse (924), we get a palindrome (4290924).

The spelling of 4290000 in words is "four million, two hundred ninety thousand".