254485463040 has 912 divisors, whose sum is σ = 989316986112. Its totient is φ = 62511906816.

The previous prime is 254485463021. The next prime is 254485463129. The reversal of 254485463040 is 40364584452.

254485463040 is a `hidden beast` number, since 2 + 5 + 4 + 4 + 8 + 5 + 4 + 630 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5414584297 + ... + 5414584343.

Almost surely, 2^254485463040 is an apocalyptic number.

254485463040 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 254485463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494658493056).

254485463040 is an abundant number, since it is smaller than the sum of its proper divisors (734831523072).

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

254485463040 is an frugal number, since it uses more digits than its factorization.

254485463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 254485463040 in words is "two hundred fifty-four billion, four hundred eighty-five million, four hundred sixty-three thousand, forty".