654249420 has 576 divisors, whose sum is σ = 2574028800. Its totient is φ = 136857600.

The previous prime is 654249419. The next prime is 654249443. The reversal of 654249420 is 24942456.

654249420 is a `hidden beast` number, since 6 + 542 + 4 + 94 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21104805 + ... + 21104835.

It is an arithmetic number, because the mean of its divisors is an integer number (4468800).

Almost surely, 2^654249420 is an apocalyptic number.

654249420 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 654249420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287014400).

654249420 is an abundant number, since it is smaller than the sum of its proper divisors (1919779380).

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

654249420 is a wasteful number, since it uses less digits than its factorization.

654249420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 654249420 is about 25578.2997871242. The cubic root of 654249420 is about 868.1227059356.

The spelling of 654249420 in words is "six hundred fifty-four million, two hundred forty-nine thousand, four hundred twenty".