254452464 has 240 divisors, whose sum is σ = 891371520. Its totient is φ = 66078720.

The previous prime is 254452463. The next prime is 254452493. The reversal of 254452464 is 464254452.

254452464 is a `hidden beast` number, since 2 + 544 + 52 + 4 + 64 = 666.

254452464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254452463) 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, 530977 + ... + 531455.

It is an arithmetic number, because the mean of its divisors is an integer number (3714048).

Almost surely, 2^254452464 is an apocalyptic number.

254452464 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 254452464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445685760).

254452464 is an abundant number, since it is smaller than the sum of its proper divisors (636919056).

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

254452464 is a wasteful number, since it uses less digits than its factorization.

254452464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 539 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 254452464 is about 15951.5661926972. The cubic root of 254452464 is about 633.6783754822.

The spelling of 254452464 in words is "two hundred fifty-four million, four hundred fifty-two thousand, four hundred sixty-four".