653429504 has 108 divisors (see below), whose sum is σ = 1634374224. Its totient is φ = 258435072.

The previous prime is 653429489. The next prime is 653429507. The reversal of 653429504 is 405924356.

It is not an unprimeable number, because it can be changed into a prime (653429507) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161069 + ... + 165075.

Almost surely, 2^653429504 is an apocalyptic number.

653429504 is a gapful number since it is divisible by the number (64) 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 653429504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817187112).

653429504 is an abundant number, since it is smaller than the sum of its proper divisors (980944720).

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

653429504 is a wasteful number, since it uses less digits than its factorization.

653429504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The square root of 653429504 is about 25562.2671920939. The cubic root of 653429504 is about 867.7599058457.

The spelling of 653429504 in words is "six hundred fifty-three million, four hundred twenty-nine thousand, five hundred four".