254623435920 has 960 divisors, whose sum is σ = 1037333606400. Its totient is φ = 54751334400.

The previous prime is 254623435919. The next prime is 254623435921. The reversal of 254623435920 is 29534326452.

254623435920 is a `hidden beast` number, since 2 + 5 + 46 + 234 + 359 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (254623435919) and next prime (254623435921).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (254623435921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1686247845 + ... + 1686247995.

It is an arithmetic number, because the mean of its divisors is an integer number (1080555840).

Almost surely, 2^254623435920 is an apocalyptic number.

254623435920 is a gapful number since it is divisible by the number (20) 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 254623435920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518666803200).

254623435920 is an abundant number, since it is smaller than the sum of its proper divisors (782710170480).

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

254623435920 is a wasteful number, since it uses less digits than its factorization.

254623435920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 254623435920 in words is "two hundred fifty-four billion, six hundred twenty-three million, four hundred thirty-five thousand, nine hundred twenty".