654538752 has 384 divisors, whose sum is σ = 2358720000. Its totient is φ = 175177728.

The previous prime is 654538751. The next prime is 654538783. The reversal of 654538752 is 257835456.

654538752 is a `hidden beast` number, since 6 + 545 + 38 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (1008000) is a multiple of the sum of its prime divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 654538698 and 654538707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654538751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7354324 + ... + 7354412.

It is an arithmetic number, because the mean of its divisors is an integer number (6142500).

Almost surely, 2^654538752 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 654538752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179360000).

654538752 is an abundant number, since it is smaller than the sum of its proper divisors (1704181248).

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

654538752 is a wasteful number, since it uses less digits than its factorization.

654538752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 654538752 is about 25583.9549718178. The cubic root of 654538752 is about 868.2506584941.

The spelling of 654538752 in words is "six hundred fifty-four million, five hundred thirty-eight thousand, seven hundred fifty-two".