540436800 has 336 divisors, whose sum is σ = 1938893760. Its totient is φ = 131235840.

The previous prime is 540436753. The next prime is 540436823. The reversal of 540436800 is 8634045.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3019111 + ... + 3019289.

Almost surely, 2^540436800 is an apocalyptic number.

540436800 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 540436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969446880).

540436800 is an abundant number, since it is smaller than the sum of its proper divisors (1398456960).

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

540436800 is a wasteful number, since it uses less digits than its factorization.

540436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 540436800 is about 23247.2966170262. The cubic root of 540436800 is about 814.5447920285.

The spelling of 540436800 in words is "five hundred forty million, four hundred thirty-six thousand, eight hundred".