254996640 has 192 divisors, whose sum is σ = 906837120. Its totient is φ = 66908160.

The previous prime is 254996633. The next prime is 254996689. The reversal of 254996640 is 46699452.

254996640 is a `hidden beast` number, since 2 + 549 + 9 + 66 + 40 = 666.

It is a super-2 number, since 2×254996640² = 130046572822579200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289000 + ... + 289880.

It is an arithmetic number, because the mean of its divisors is an integer number (4723110).

Almost surely, 2^254996640 is an apocalyptic number.

254996640 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 254996640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453418560).

254996640 is an abundant number, since it is smaller than the sum of its proper divisors (651840480).

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

254996640 is a wasteful number, since it uses less digits than its factorization.

254996640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 254996640 is about 15968.6142166438. The cubic root of 254996640 is about 634.1297853165.

The spelling of 254996640 in words is "two hundred fifty-four million, nine hundred ninety-six thousand, six hundred forty".