659678400 has 252 divisors, whose sum is σ = 2386262944. Its totient is φ = 172800000.

The previous prime is 659678359. The next prime is 659678401. The reversal of 659678400 is 4876956.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (659678401) 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 35 ways as a sum of consecutive naturals, for example, 878025 + ... + 878775.

Almost surely, 2^659678400 is an apocalyptic number.

659678400 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 659678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193131472).

659678400 is an abundant number, since it is smaller than the sum of its proper divisors (1726584544).

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

659678400 is a wasteful number, since it uses less digits than its factorization.

659678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 659678400 is about 25684.2052631574. The cubic root of 659678400 is about 870.5173300508.

The spelling of 659678400 in words is "six hundred fifty-nine million, six hundred seventy-eight thousand, four hundred".