657149000 has 64 divisors (see below), whose sum is σ = 1544315760. Its totient is φ = 261734400.

The previous prime is 657148997. The next prime is 657149011. The reversal of 657149000 is 941756.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 137217796 + 519931204 = 11714^2 + 22802^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 255722 + ... + 258278.

Almost surely, 2^657149000 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 657149000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772157880).

657149000 is an abundant number, since it is smaller than the sum of its proper divisors (887166760).

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

657149000 is a wasteful number, since it uses less digits than its factorization.

657149000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 657149000 is about 25634.9175930019. The cubic root of 657149000 is about 869.4032989459.

The spelling of 657149000 in words is "six hundred fifty-seven million, one hundred forty-nine thousand".