657141480 has 96 divisors (see below), whose sum is σ = 2185428960. Its totient is φ = 171158400.

The previous prime is 657141473. The next prime is 657141491. The reversal of 657141480 is 84141756.

It is a happy number.

657141480 is a `hidden beast` number, since 6 + 571 + 4 + 1 + 4 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5746 + ... + 36705.

It is an arithmetic number, because the mean of its divisors is an integer number (22764885).

Almost surely, 2^657141480 is an apocalyptic number.

657141480 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 657141480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092714480).

657141480 is an abundant number, since it is smaller than the sum of its proper divisors (1528287480).

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

657141480 is a wasteful number, since it uses less digits than its factorization.

657141480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42511 (or 42504 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 657141480 is about 25634.7709176423. The cubic root of 657141480 is about 869.3999826316.

The spelling of 657141480 in words is "six hundred fifty-seven million, one hundred forty-one thousand, four hundred eighty".