540790416 has 30 divisors (see below), whose sum is σ = 1513462470. Its totient is φ = 180263424.

The previous prime is 540790391. The next prime is 540790441. The reversal of 540790416 is 614097045.

540790416 is a `hidden beast` number, since 540 + 79 + 0 + 41 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (540790391) and next prime (540790441).

It can be written as a sum of positive squares in only one way, i.e., 364962816 + 175827600 = 19104^2 + 13260^2 .

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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1877601 + ... + 1877888.

It is an arithmetic number, because the mean of its divisors is an integer number (50448749).

Almost surely, 2^540790416 is an apocalyptic number.

It is an amenable number.

540790416 is an abundant number, since it is smaller than the sum of its proper divisors (972672054).

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

540790416 is a wasteful number, since it uses less digits than its factorization.

540790416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755503 (or 3755494 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 540790416 is about 23254.9009028205. The cubic root of 540790416 is about 814.7224096345.

The spelling of 540790416 in words is "five hundred forty million, seven hundred ninety thousand, four hundred sixteen".