546530400 has 216 divisors, whose sum is σ = 2075804640. Its totient is φ = 134507520.

The previous prime is 546530377. The next prime is 546530419. The reversal of 546530400 is 4035645.

546530400 is a `hidden beast` number, since 5 + 4 + 653 + 0 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90681 + ... + 96519.

Almost surely, 2^546530400 is an apocalyptic number.

546530400 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 546530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037902320).

546530400 is an abundant number, since it is smaller than the sum of its proper divisors (1529274240).

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

546530400 is a wasteful number, since it uses less digits than its factorization.

546530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5878 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 546530400 is about 23377.9896483851. The cubic root of 546530400 is about 817.5947762070.

The spelling of 546530400 in words is "five hundred forty-six million, five hundred thirty thousand, four hundred".