254432640 has 256 divisors, whose sum is σ = 1011709440. Its totient is φ = 52838400.

The previous prime is 254432621. The next prime is 254432653. The reversal of 254432640 is 46234452.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 254432598 and 254432607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146980 + ... + 148700.

It is an arithmetic number, because the mean of its divisors is an integer number (3951990).

Almost surely, 2^254432640 is an apocalyptic number.

254432640 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 254432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505854720).

254432640 is an abundant number, since it is smaller than the sum of its proper divisors (757276800).

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

254432640 is a wasteful number, since it uses less digits than its factorization.

254432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 254432640 is about 15950.9447996036. The cubic root of 254432640 is about 633.6619187524.

The spelling of 254432640 in words is "two hundred fifty-four million, four hundred thirty-two thousand, six hundred forty".