546278400 has 198 divisors, whose sum is σ = 1956760052. Its totient is φ = 145612800.

The previous prime is 546278393. The next prime is 546278401. The reversal of 546278400 is 4872645.

546278400 is a `hidden beast` number, since 546 + 2 + 78 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (546278401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 229215 + ... + 231585.

Almost surely, 2^546278400 is an apocalyptic number.

546278400 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 546278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978380026).

546278400 is an abundant number, since it is smaller than the sum of its proper divisors (1410481652).

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

546278400 is a wasteful number, since it uses less digits than its factorization.

546278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 546278400 is about 23372.5993419645. The cubic root of 546278400 is about 817.4690951479.

The spelling of 546278400 in words is "five hundred forty-six million, two hundred seventy-eight thousand, four hundred".