254786435904 has 672 divisors, whose sum is σ = 960122275840. Its totient is φ = 57863393280.

The previous prime is 254786435899. The next prime is 254786435941. The reversal of 254786435904 is 409534687452.

254786435904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×254786435904² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40164957 + ... + 40171299.

Almost surely, 2^254786435904 is an apocalyptic number.

254786435904 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 254786435904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480061137920).

254786435904 is an abundant number, since it is smaller than the sum of its proper divisors (705335839936).

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

254786435904 is a wasteful number, since it uses less digits than its factorization.

254786435904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6419 (or 6398 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 57.

The spelling of 254786435904 in words is "two hundred fifty-four billion, seven hundred eighty-six million, four hundred thirty-five thousand, nine hundred four".