653574240 has 360 divisors, whose sum is σ = 2532479040. Its totient is φ = 153331200.

The previous prime is 653574227. The next prime is 653574277. The reversal of 653574240 is 42475356.

653574240 is a `hidden beast` number, since 65 + 3 + 574 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 653574195 and 653574204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21083025 + ... + 21083055.

It is an arithmetic number, because the mean of its divisors is an integer number (7034664).

Almost surely, 2^653574240 is an apocalyptic number.

653574240 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 653574240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266239520).

653574240 is an abundant number, since it is smaller than the sum of its proper divisors (1878904800).

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

653574240 is a wasteful number, since it uses less digits than its factorization.

653574240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 653574240 is about 25565.0980831289. The cubic root of 653574240 is about 867.8239713263.

The spelling of 653574240 in words is "six hundred fifty-three million, five hundred seventy-four thousand, two hundred forty".