254434451376 has 240 divisors, whose sum is σ = 773554489344. Its totient is φ = 71847272448.

The previous prime is 254434451371. The next prime is 254434451389. The reversal of 254434451376 is 673154434452.

It is a super-2 number, since 2×254434451376² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (254434451371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209066320 + ... + 209067536.

Almost surely, 2^254434451376 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 254434451376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386777244672).

254434451376 is an abundant number, since it is smaller than the sum of its proper divisors (519120037968).

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

254434451376 is a wasteful number, since it uses less digits than its factorization.

254434451376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2195 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 48.

The spelling of 254434451376 in words is "two hundred fifty-four billion, four hundred thirty-four million, four hundred fifty-one thousand, three hundred seventy-six".