746480 has 80 divisors (see below), whose sum is σ = 2095104. Its totient is φ = 241920.

The previous prime is 746479. The next prime is 746483. The reversal of 746480 is 84647.

746480 is nontrivially palindromic in base 6.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17339 + ... + 17381.

2⁷⁴⁶⁴⁸⁰ is an apocalyptic number.

746480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047552).

746480 is an abundant number, since it is smaller than the sum of its proper divisors (1348624).

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

746480 is a wasteful number, since it uses less digits than its factorization.

746480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 746480 is about 863.9907406911. The cubic root of 746480 is about 90.7136674803.

The spelling of 746480 in words is "seven hundred forty-six thousand, four hundred eighty".