254077668 has 192 divisors, whose sum is σ = 749566720. Its totient is φ = 73903104.

The previous prime is 254077639. The next prime is 254077673. The reversal of 254077668 is 866770452.

It is a super-2 number, since 2×254077668² = 129110922752636448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3480480 + ... + 3480552.

Almost surely, 2^254077668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254077668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374783360).

254077668 is an abundant number, since it is smaller than the sum of its proper divisors (495489052).

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

254077668 is a wasteful number, since it uses less digits than its factorization.

254077668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 254077668 is about 15939.8139261410. The cubic root of 254077668 is about 633.3670968765.

It can be divided in two parts, 2540 and 77668, that added together give a palindrome (80208).

The spelling of 254077668 in words is "two hundred fifty-four million, seventy-seven thousand, six hundred sixty-eight".