545661600 has 216 divisors, whose sum is σ = 1953312480. Its totient is φ = 132211200.

The previous prime is 545661539. The next prime is 545661643. The reversal of 545661600 is 6166545.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 289461 + ... + 291339.

Almost surely, 2^545661600 is an apocalyptic number.

545661600 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 545661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976656240).

545661600 is an abundant number, since it is smaller than the sum of its proper divisors (1407650880).

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

545661600 is a wasteful number, since it uses less digits than its factorization.

545661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 545661600 is about 23359.4006772434. The cubic root of 545661600 is about 817.1613126291.

The spelling of 545661600 in words is "five hundred forty-five million, six hundred sixty-one thousand, six hundred".