407376 has 80 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 126720.

The previous prime is 407369. The next prime is 407377. The reversal of 407376 is 673704.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a plaindrome in base 13.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407377) by changing a digit.

407376 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 15 ways as a sum of consecutive naturals, for example, 9916 + ... + 9956.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2⁴⁰⁷³⁷⁶ is an apocalyptic number.

407376 is a gapful number since it is divisible by the number (46) 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 407376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

407376 is an abundant number, since it is smaller than the sum of its proper divisors (842544).

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

407376 is a wasteful number, since it uses less digits than its factorization.

407376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 407376 is about 638.2601350547. The cubic root of 407376 is about 74.1307646517.

The spelling of 407376 in words is "four hundred seven thousand, three hundred seventy-six".