407416 has 16 divisors (see below), whose sum is σ = 771840. Its totient is φ = 201600.

The previous prime is 407401. The next prime is 407437. The reversal of 407416 is 614704.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 816 + ... + 1216.

It is an arithmetic number, because the mean of its divisors is an integer number (48240).

2⁴⁰⁷⁴¹⁶ is an apocalyptic number.

It is an amenable number.

407416 is a deficient number, since it is larger than the sum of its proper divisors (364424).

407416 is a wasteful number, since it uses less digits than its factorization.

407416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 407416 is about 638.2914694714. The cubic root of 407416 is about 74.1331908571.

The spelling of 407416 in words is "four hundred seven thousand, four hundred sixteen".