546193440 has 288 divisors, whose sum is σ = 2030857920. Its totient is φ = 132876288.

The previous prime is 546193429. The next prime is 546193457. The reversal of 546193440 is 44391645.

546193440 is a `hidden beast` number, since 5 + 4 + 619 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 546193395 and 546193404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3051271 + ... + 3051449.

It is an arithmetic number, because the mean of its divisors is an integer number (7051590).

Almost surely, 2^546193440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 546193440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015428960).

546193440 is an abundant number, since it is smaller than the sum of its proper divisors (1484664480).

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

546193440 is a wasteful number, since it uses less digits than its factorization.

546193440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 546193440 is about 23370.7817584265. The cubic root of 546193440 is about 817.4267139645.

The spelling of 546193440 in words is "five hundred forty-six million, one hundred ninety-three thousand, four hundred forty".