653461452 has 288 divisors, whose sum is σ = 2127148800. Its totient is φ = 172440576.

The previous prime is 653461451. The next prime is 653461469. The reversal of 653461452 is 254164356.

653461452 is a `hidden beast` number, since 6 + 5 + 34 + 614 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653461451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6736668 + ... + 6736764.

Almost surely, 2^653461452 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 653461452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063574400).

653461452 is an abundant number, since it is smaller than the sum of its proper divisors (1473687348).

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

653461452 is a wasteful number, since it uses less digits than its factorization.

653461452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 653461452 is about 25562.8920899025. The cubic root of 653461452 is about 867.7740480199.

The spelling of 653461452 in words is "six hundred fifty-three million, four hundred sixty-one thousand, four hundred fifty-two".