540962400 has 288 divisors, whose sum is σ = 1985872896. Its totient is φ = 126720000.

The previous prime is 540962393. The next prime is 540962413. The reversal of 540962400 is 4269045.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 818070 + ... + 818730.

It is an arithmetic number, because the mean of its divisors is an integer number (6895392).

Almost surely, 2^540962400 is an apocalyptic number.

540962400 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 540962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992936448).

540962400 is an abundant number, since it is smaller than the sum of its proper divisors (1444910496).

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

540962400 is a wasteful number, since it uses less digits than its factorization.

540962400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 540962400 is about 23258.5984100504. The cubic root of 540962400 is about 814.8087674074.

The spelling of 540962400 in words is "five hundred forty million, nine hundred sixty-two thousand, four hundred".