545965920 has 240 divisors, whose sum is σ = 1950268320. Its totient is φ = 143824896.

The previous prime is 545965909. The next prime is 545965933. The reversal of 545965920 is 29569545.

It is a happy number.

545965920 is a `hidden beast` number, since 5 + 4 + 59 + 6 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 1334676 + ... + 1335084.

It is an arithmetic number, because the mean of its divisors is an integer number (8126118).

Almost surely, 2^545965920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545965920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975134160).

545965920 is an abundant number, since it is smaller than the sum of its proper divisors (1404302400).

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

545965920 is a wasteful number, since it uses less digits than its factorization.

545965920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 545965920 is about 23365.9136350368. The cubic root of 545965920 is about 817.3131969441.

It can be divided in two parts, 54596 and 5920, that added together give a square (60516 = 246²).

The spelling of 545965920 in words is "five hundred forty-five million, nine hundred sixty-five thousand, nine hundred twenty".