540257256 has 192 divisors, whose sum is σ = 1885833600. Its totient is φ = 140279040.

The previous prime is 540257251. The next prime is 540257257. The reversal of 540257256 is 652752045.

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

It is a self number, because there is not a number n which added to its sum of digits gives 540257256.

It is not an unprimeable number, because it can be changed into a prime (540257251) 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, 181476 + ... + 184428.

It is an arithmetic number, because the mean of its divisors is an integer number (9822050).

Almost surely, 2^540257256 is an apocalyptic number.

540257256 is a gapful number since it is divisible by the number (56) 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 540257256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942916800).

540257256 is an abundant number, since it is smaller than the sum of its proper divisors (1345576344).

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

540257256 is a wasteful number, since it uses less digits than its factorization.

540257256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2976 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 540257256 is about 23243.4346859495. The cubic root of 540257256 is about 814.4545793040.

The spelling of 540257256 in words is "five hundred forty million, two hundred fifty-seven thousand, two hundred fifty-six".