4137480 has 80 divisors (see below), whose sum is σ = 13917420. Its totient is φ = 1102464.

The previous prime is 4137473. The next prime is 4137491. The reversal of 4137480 is 847314.

It can be written as a sum of positive squares in 2 ways, for example, as 4137156 + 324 = 2034^2 + 18^2 .

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 a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2602 + ... + 3878.

Almost surely, 2^4137480 is an apocalyptic number.

4137480 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 4137480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6958710).

4137480 is an abundant number, since it is smaller than the sum of its proper divisors (9779940).

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

4137480 is a wasteful number, since it uses less digits than its factorization.

4137480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4137480 is about 2034.0796444584. The cubic root of 4137480 is about 160.5382911522.

The spelling of 4137480 in words is "four million, one hundred thirty-seven thousand, four hundred eighty".