407916544 has 104 divisors (see below), whose sum is σ = 957757248. Its totient is φ = 170065920.

The previous prime is 407916539. The next prime is 407916617. The reversal of 407916544 is 445619704.

It is a super-5 number, since 5×407916544⁵ (a number of 44 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 407916497 and 407916506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1175379 + ... + 1175725.

Almost surely, 2^407916544 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 407916544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478878624).

407916544 is an abundant number, since it is smaller than the sum of its proper divisors (549840704).

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

407916544 is an equidigital number, since it uses as much as digits as its factorization.

407916544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 407916544 is about 20196.9439272381. The cubic root of 407916544 is about 741.6353800266.

The spelling of 407916544 in words is "four hundred seven million, nine hundred sixteen thousand, five hundred forty-four".