254151640 has 64 divisors (see below), whose sum is σ = 596655360. Its totient is φ = 97320960.

The previous prime is 254151637. The next prime is 254151647. The reversal of 254151640 is 46151452.

254151640 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×254151640² = 129186112229379200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 254151599 and 254151608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254151647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119224 + ... + 121336.

It is an arithmetic number, because the mean of its divisors is an integer number (9322740).

Almost surely, 2^254151640 is an apocalyptic number.

254151640 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 254151640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298327680).

254151640 is an abundant number, since it is smaller than the sum of its proper divisors (342503720).

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

254151640 is a wasteful number, since it uses less digits than its factorization.

254151640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 254151640 is about 15942.1341105888. The cubic root of 254151640 is about 633.4285569348.

The spelling of 254151640 in words is "two hundred fifty-four million, one hundred fifty-one thousand, six hundred forty".