654285240 has 288 divisors, whose sum is σ = 2560896000. Its totient is φ = 144281088.

The previous prime is 654285227. The next prime is 654285259. The reversal of 654285240 is 42582456.

It is a happy number.

It is a Cunningham number, because it is equal to 25579²-1.

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

It is a junction number, because it is equal to n+sod(n) for n = 654285195 and 654285204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 510921 + ... + 512199.

It is an arithmetic number, because the mean of its divisors is an integer number (8892000).

Almost surely, 2^654285240 is an apocalyptic number.

654285240 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 654285240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280448000).

654285240 is an abundant number, since it is smaller than the sum of its proper divisors (1906610760).

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

654285240 is a wasteful number, since it uses less digits than its factorization.

654285240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 654285240 is about 25578.9999804527. Note that the first 4 decimals coincide. The cubic root of 654285240 is about 868.1385488169.

The spelling of 654285240 in words is "six hundred fifty-four million, two hundred eighty-five thousand, two hundred forty".