746221920 has 96 divisors (see below), whose sum is σ = 2414186208. Its totient is φ = 193609728.

The previous prime is 746221907. The next prime is 746221921. The reversal of 746221920 is 29122647.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746221921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3249 + ... + 38768.

It is an arithmetic number, because the mean of its divisors is an integer number (25147773).

Almost surely, 2^746221920 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 746221920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207093104).

746221920 is an abundant number, since it is smaller than the sum of its proper divisors (1667964288).

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

746221920 is a wasteful number, since it uses less digits than its factorization.

746221920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42072 (or 42064 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 746221920 is about 27317.0627996496. The cubic root of 746221920 is about 907.0321215133.

The spelling of 746221920 in words is "seven hundred forty-six million, two hundred twenty-one thousand, nine hundred twenty".