746500480 has 128 divisors (see below), whose sum is σ = 1967016960. Its totient is φ = 268646400.

The previous prime is 746500477. The next prime is 746500499. The reversal of 746500480 is 84005647.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 752785 + ... + 753775.

It is an arithmetic number, because the mean of its divisors is an integer number (15367320).

Almost surely, 2^746500480 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 746500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983508480).

746500480 is an abundant number, since it is smaller than the sum of its proper divisors (1220516480).

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

746500480 is a wasteful number, since it uses less digits than its factorization.

746500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 746500480 is about 27322.1609687082. The cubic root of 746500480 is about 907.1449706218.

The spelling of 746500480 in words is "seven hundred forty-six million, five hundred thousand, four hundred eighty".