654438240 has 288 divisors, whose sum is σ = 2339378496. Its totient is φ = 166440960.

The previous prime is 654438229. The next prime is 654438259. The reversal of 654438240 is 42834456.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 654438195 and 654438204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3782794 + ... + 3782966.

It is an arithmetic number, because the mean of its divisors is an integer number (8122842).

Almost surely, 2^654438240 is an apocalyptic number.

654438240 is a gapful number since it is divisible by the number (60) 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 654438240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169689248).

654438240 is an abundant number, since it is smaller than the sum of its proper divisors (1684940256).

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

654438240 is a wasteful number, since it uses less digits than its factorization.

654438240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 654438240 is about 25581.9905402218. The cubic root of 654438240 is about 868.2062129068.

The spelling of 654438240 in words is "six hundred fifty-four million, four hundred thirty-eight thousand, two hundred forty".