540355464 has 96 divisors (see below), whose sum is σ = 1600372800. Its totient is φ = 163347840.

The previous prime is 540355447. The next prime is 540355471. The reversal of 540355464 is 464553045.

540355464 is a `hidden beast` number, since 5 + 40 + 3 + 554 + 64 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 651402 + ... + 652230.

It is an arithmetic number, because the mean of its divisors is an integer number (16670550).

Almost surely, 2^540355464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540355464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800186400).

540355464 is an abundant number, since it is smaller than the sum of its proper divisors (1060017336).

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

540355464 is a wasteful number, since it uses less digits than its factorization.

540355464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 540355464 is about 23245.5471865043. The cubic root of 540355464 is about 814.5039268498.

The spelling of 540355464 in words is "five hundred forty million, three hundred fifty-five thousand, four hundred sixty-four".