546451600 has 60 divisors (see below), whose sum is σ = 1315201536. Its totient is φ = 218189440.

The previous prime is 546451597. The next prime is 546451613. The reversal of 546451600 is 6154645.

It is a super-2 number, since 2×546451600² = 597218702285120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344409 + ... + 345991.

Almost surely, 2^546451600 is an apocalyptic number.

546451600 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 546451600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657600768).

546451600 is an abundant number, since it is smaller than the sum of its proper divisors (768749936).

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

546451600 is a wasteful number, since it uses less digits than its factorization.

546451600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 546451600 is about 23376.3042416888. The cubic root of 546451600 is about 817.5554800916. Note that the first 3 decimals are identical.

The spelling of 546451600 in words is "five hundred forty-six million, four hundred fifty-one thousand, six hundred".