657480 has 32 divisors (see below), whose sum is σ = 1972800. Its totient is φ = 175296.

The previous prime is 657473. The next prime is 657491. The reversal of 657480 is 84756.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

657480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2620 + ... + 2859.

It is an arithmetic number, because the mean of its divisors is an integer number (61650).

2⁶⁵⁷⁴⁸⁰ is an apocalyptic number.

657480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

657480 is an abundant number, since it is smaller than the sum of its proper divisors (1315320).

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

657480 is a wasteful number, since it uses less digits than its factorization.

657480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5493 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 657480 is about 810.8514043892. The cubic root of 657480 is about 86.9549244634.

The spelling of 657480 in words is "six hundred fifty-seven thousand, four hundred eighty".