657240480 has 480 divisors, whose sum is σ = 2581818624. Its totient is φ = 156432384.

The previous prime is 657240473. The next prime is 657240487. The reversal of 657240480 is 84042756.

657240480 is a `hidden beast` number, since 6 + 572 + 4 + 0 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (657240473) and next prime (657240487).

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (657240487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7918519 + ... + 7918601.

Almost surely, 2^657240480 is an apocalyptic number.

657240480 is a gapful number since it is divisible by the number (60) 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 657240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290909312).

657240480 is an abundant number, since it is smaller than the sum of its proper divisors (1924578144).

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

657240480 is a wasteful number, since it uses less digits than its factorization.

657240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 657240480 is about 25636.7018159513. The cubic root of 657240480 is about 869.4436395300.

The spelling of 657240480 in words is "six hundred fifty-seven million, two hundred forty thousand, four hundred eighty".