540626400 has 324 divisors, whose sum is σ = 1998825192. Its totient is φ = 142767360.

The previous prime is 540626377. The next prime is 540626407. The reversal of 540626400 is 4626045.

It is a happy number.

540626400 is a `hidden beast` number, since 540 + 62 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540626407) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5248749 + ... + 5248851.

Almost surely, 2^540626400 is an apocalyptic number.

540626400 is a gapful number since it is divisible by the number (50) 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 540626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999412596).

540626400 is an abundant number, since it is smaller than the sum of its proper divisors (1458198792).

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

540626400 is an equidigital number, since it uses as much as digits as its factorization.

540626400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 540626400 is about 23251.3741529399. The cubic root of 540626400 is about 814.6400357497.

The spelling of 540626400 in words is "five hundred forty million, six hundred twenty-six thousand, four hundred".