653352440 has 64 divisors (see below), whose sum is σ = 1597276800. Its totient is φ = 239081472.

The previous prime is 653352439. The next prime is 653352451. The reversal of 653352440 is 44253356.

It is a junction number, because it is equal to n+sod(n) for n = 653352397 and 653352406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53201 + ... + 64319.

It is an arithmetic number, because the mean of its divisors is an integer number (24957450).

Almost surely, 2^653352440 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 653352440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798638400).

653352440 is an abundant number, since it is smaller than the sum of its proper divisors (943924360).

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

653352440 is a wasteful number, since it uses less digits than its factorization.

653352440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11256 (or 11252 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The square root of 653352440 is about 25560.7597696156. The cubic root of 653352440 is about 867.7257906234.

The spelling of 653352440 in words is "six hundred fifty-three million, three hundred fifty-two thousand, four hundred forty".