545577984 has 176 divisors, whose sum is σ = 1847212800. Its totient is φ = 155824128.

The previous prime is 545577971. The next prime is 545578001. The reversal of 545577984 is 489775545.

545577984 is a `hidden beast` number, since 5 + 4 + 557 + 7 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 545577984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192127 + ... + 194945.

Almost surely, 2^545577984 is an apocalyptic number.

545577984 is a gapful number since it is divisible by the number (54) 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 545577984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923606400).

545577984 is an abundant number, since it is smaller than the sum of its proper divisors (1301634816).

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

545577984 is a wasteful number, since it uses less digits than its factorization.

545577984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2831 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 54.

The square root of 545577984 is about 23357.6108367273. The cubic root of 545577984 is about 817.1195704879.

The spelling of 545577984 in words is "five hundred forty-five million, five hundred seventy-seven thousand, nine hundred eighty-four".