254364984 has 96 divisors (see below), whose sum is σ = 710892000. Its totient is φ = 82114560.

The previous prime is 254364983. The next prime is 254364991. The reversal of 254364984 is 489463452.

254364984 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254364983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 587232 + ... + 587664.

It is an arithmetic number, because the mean of its divisors is an integer number (7405125).

Almost surely, 2^254364984 is an apocalyptic number.

254364984 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 254364984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355446000).

254364984 is an abundant number, since it is smaller than the sum of its proper divisors (456527016).

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

254364984 is a wasteful number, since it uses less digits than its factorization.

254364984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 678 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 254364984 is about 15948.8239064829. The cubic root of 254364984 is about 633.6057482452.

The spelling of 254364984 in words is "two hundred fifty-four million, three hundred sixty-four thousand, nine hundred eighty-four".