407878416 has 315 divisors, whose sum is σ = 1383476773. Its totient is φ = 116328960.

The previous prime is 407878409. The next prime is 407878421. The reversal of 407878416 is 614878704.

The square root of 407878416 is 20196.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 317552400 + 90326016 = 17820^2 + 9504^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 23992840 + ... + 23992856.

Almost surely, 2^407878416 is an apocalyptic number.

407878416 is the 20196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407878416

407878416 is an abundant number, since it is smaller than the sum of its proper divisors (975598357).

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

407878416 is a wasteful number, since it uses less digits than its factorization.

407878416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The cubic root of 407878416 is about 741.6122723956.

The spelling of 407878416 in words is "four hundred seven million, eight hundred seventy-eight thousand, four hundred sixteen".