407416768 has 56 divisors (see below), whose sum is σ = 905859504. Its totient is φ = 180172800.

The previous prime is 407416741. The next prime is 407416769. The reversal of 407416768 is 867614704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407416769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18228 + ... + 33868.

Almost surely, 2^407416768 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 407416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452929752).

407416768 is an abundant number, since it is smaller than the sum of its proper divisors (498442736).

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

407416768 is a wasteful number, since it uses less digits than its factorization.

407416768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15701 (or 15691 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 407416768 is about 20184.5675702998. The cubic root of 407416768 is about 741.3323743870.

It can be divided in two parts, 407 and 416768, that multiplied together give a square (169624576 = 13024²).

The spelling of 407416768 in words is "four hundred seven million, four hundred sixteen thousand, seven hundred sixty-eight".