4146240 has 112 divisors (see below), whose sum is σ = 15069312. Its totient is φ = 946176.

The previous prime is 4146227. The next prime is 4146253. The reversal of 4146240 is 426414.

It is an interprime number because it is at equal distance from previous prime (4146227) and next prime (4146253).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×4146240² = 34382612275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6412 + ... + 7028.

Almost surely, 2^4146240 is an apocalyptic number.

4146240 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 4146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7534656).

4146240 is an abundant number, since it is smaller than the sum of its proper divisors (10923072).

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

4146240 is a wasteful number, since it uses less digits than its factorization.

4146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4146240 is about 2036.2318139151. The cubic root of 4146240 is about 160.6515101566.

The spelling of 4146240 in words is "four million, one hundred forty-six thousand, two hundred forty".