546122400 has 144 divisors (see below), whose sum is σ = 1785760704. Its totient is φ = 144967680.

The previous prime is 546122387. The next prime is 546122411. The reversal of 546122400 is 4221645.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750837 + ... + 751563.

It is an arithmetic number, because the mean of its divisors is an integer number (12401116).

Almost surely, 2^546122400 is an apocalyptic number.

546122400 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 546122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892880352).

546122400 is an abundant number, since it is smaller than the sum of its proper divisors (1239638304).

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

546122400 is a wasteful number, since it uses less digits than its factorization.

546122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 546122400 is about 23369.2618625407. The cubic root of 546122400 is about 817.3912732169.

The spelling of 546122400 in words is "five hundred forty-six million, one hundred twenty-two thousand, four hundred".