254621664 has 192 divisors, whose sum is σ = 823495680. Its totient is φ = 75893760.

The previous prime is 254621629. The next prime is 254621669. The reversal of 254621664 is 466126452.

254621664 is a `hidden beast` number, since 25 + 4 + 621 + 6 + 6 + 4 = 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 (254621669) 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, 693609 + ... + 693975.

It is an arithmetic number, because the mean of its divisors is an integer number (4289040).

Almost surely, 2^254621664 is an apocalyptic number.

254621664 is a gapful number since it is divisible by the number (24) 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 254621664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411747840).

254621664 is an abundant number, since it is smaller than the sum of its proper divisors (568874016).

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

254621664 is a wasteful number, since it uses less digits than its factorization.

254621664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 456 counting only the distinct ones).

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

The square root of 254621664 is about 15956.8688657894. The cubic root of 254621664 is about 633.8188006956.

The spelling of 254621664 in words is "two hundred fifty-four million, six hundred twenty-one thousand, six hundred sixty-four".