254115864 has 96 divisors (see below), whose sum is σ = 753948000. Its totient is φ = 76962816.

The previous prime is 254115833. The next prime is 254115877. The reversal of 254115864 is 468511452.

It is a happy number.

254115864 is a `hidden beast` number, since 2 + 541 + 1 + 58 + 64 = 666.

254115864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31917 + ... + 39075.

It is an arithmetic number, because the mean of its divisors is an integer number (7853625).

Almost surely, 2^254115864 is an apocalyptic number.

254115864 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 254115864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376974000).

254115864 is an abundant number, since it is smaller than the sum of its proper divisors (499832136).

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

254115864 is a wasteful number, since it uses less digits than its factorization.

254115864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7217 (or 7210 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 254115864 is about 15941.0120130436. The cubic root of 254115864 is about 633.3988337304.

The spelling of 254115864 in words is "two hundred fifty-four million, one hundred fifteen thousand, eight hundred sixty-four".