407124 has 36 divisors (see below), whose sum is σ = 1057056. Its totient is φ = 132048.

The previous prime is 407119. The next prime is 407137. The reversal of 407124 is 421704.

Added to its reverse (421704) it gives a triangular number (828828 = T₁₂₈₇).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 407097 and 407106.

It is a congruent number.

It is an unprimeable number.

407124 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1417 + ... + 1679.

2⁴⁰⁷¹²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528528).

407124 is an abundant number, since it is smaller than the sum of its proper divisors (649932).

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

407124 is a wasteful number, since it uses less digits than its factorization.

407124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 407124 is about 638.0626928445. The cubic root of 407124 is about 74.1154759046.

Adding to 407124 its reverse (421704), we get a palindrome (828828).

It can be divided in two parts, 4071 and 24, that added together give a triangular number (4095 = T₉₀).

The spelling of 407124 in words is "four hundred seven thousand, one hundred twenty-four", and thus it is an iban number.