540590400 has 504 divisors, whose sum is σ = 2279806464. Its totient is φ = 118886400.

The previous prime is 540590383. The next prime is 540590417. The reversal of 540590400 is 4095045.

It is an interprime number because it is at equal distance from previous prime (540590383) and next prime (540590417).

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3124714 + ... + 3124886.

Almost surely, 2^540590400 is an apocalyptic number.

540590400 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 540590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139903232).

540590400 is an abundant number, since it is smaller than the sum of its proper divisors (1739216064).

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

540590400 is a wasteful number, since it uses less digits than its factorization.

540590400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 540590400 is about 23250.5999922583. The cubic root of 540590400 is about 814.6219532117.

The spelling of 540590400 in words is "five hundred forty million, five hundred ninety thousand, four hundred".