545251200 has 384 divisors, whose sum is σ = 2055805920. Its totient is φ = 125829120.

The previous prime is 545251181. The next prime is 545251207. The reversal of 545251200 is 2152545.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×545251200² = 594597742202880000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545251207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2121472 + ... + 2121728.

Almost surely, 2^545251200 is an apocalyptic number.

545251200 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 545251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027902960).

545251200 is an abundant number, since it is smaller than the sum of its proper divisors (1510554720).

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

545251200 is a wasteful number, since it uses less digits than its factorization.

545251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 545251200 is about 23350.6145529406. The cubic root of 545251200 is about 816.9563949567.

The spelling of 545251200 in words is "five hundred forty-five million, two hundred fifty-one thousand, two hundred".