746406416 has 80 divisors (see below), whose sum is σ = 1696022400. Its totient is φ = 318084480.

The previous prime is 746406391. The next prime is 746406491. The reversal of 746406416 is 614604647.

It is a self number, because there is not a number n which added to its sum of digits gives 746406416.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1519931 + ... + 1520421.

It is an arithmetic number, because the mean of its divisors is an integer number (21200280).

Almost surely, 2^746406416 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 746406416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848011200).

746406416 is an abundant number, since it is smaller than the sum of its proper divisors (949615984).

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

746406416 is a wasteful number, since it uses less digits than its factorization.

746406416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 746406416 is about 27320.4395279432. The cubic root of 746406416 is about 907.1068669317.

The spelling of 746406416 in words is "seven hundred forty-six million, four hundred six thousand, four hundred sixteen".