546348000 has 192 divisors, whose sum is σ = 1953020160. Its totient is φ = 132416000.

The previous prime is 546347969. The next prime is 546348041. The reversal of 546348000 is 843645.

It is a super-2 number, since 2×546348000² = 596992274208000000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129931 + ... + 134069.

It is an arithmetic number, because the mean of its divisors is an integer number (10171980).

Almost surely, 2^546348000 is an apocalyptic number.

546348000 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 546348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976510080).

546348000 is an abundant number, since it is smaller than the sum of its proper divisors (1406672160).

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

546348000 is a wasteful number, since it uses less digits than its factorization.

546348000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178 (or 4160 counting only the distinct ones).

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

The square root of 546348000 is about 23374.0882175113. The cubic root of 546348000 is about 817.5038109222.

The spelling of 546348000 in words is "five hundred forty-six million, three hundred forty-eight thousand".