653552416 has 96 divisors (see below), whose sum is σ = 1465744896. Its totient is φ = 284160000.

The previous prime is 653552413. The next prime is 653552441. The reversal of 653552416 is 614255356.

It is not an unprimeable number, because it can be changed into a prime (653552411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1101816 + ... + 1102408.

It is an arithmetic number, because the mean of its divisors is an integer number (15268176).

Almost surely, 2^653552416 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 653552416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732872448).

653552416 is an abundant number, since it is smaller than the sum of its proper divisors (812192480).

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

653552416 is a wasteful number, since it uses less digits than its factorization.

653552416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 738 counting only the distinct ones).

The product of its digits is 108000, while the sum is 37.

The square root of 653552416 is about 25564.6712476417. The cubic root of 653552416 is about 867.8143118263.

The spelling of 653552416 in words is "six hundred fifty-three million, five hundred fifty-two thousand, four hundred sixteen".