416392704 has 320 divisors, whose sum is σ = 1521569280. Its totient is φ = 109486080.

The previous prime is 416392703. The next prime is 416392721. The reversal of 416392704 is 407293614.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416392703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257819 + ... + 1258149.

It is an arithmetic number, because the mean of its divisors is an integer number (4754904).

Almost surely, 2^416392704 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 416392704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760784640).

416392704 is an abundant number, since it is smaller than the sum of its proper divisors (1105176576).

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

416392704 is a wasteful number, since it uses less digits than its factorization.

416392704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 416392704 is about 20405.7027323246. The cubic root of 416392704 is about 746.7370568560.

The spelling of 416392704 in words is "four hundred sixteen million, three hundred ninety-two thousand, seven hundred four".