545890464 has 288 divisors, whose sum is σ = 1891378944. Its totient is φ = 145981440.

The previous prime is 545890453. The next prime is 545890481. The reversal of 545890464 is 464098545.

545890464 is a `hidden beast` number, since 5 + 4 + 589 + 0 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×545890464² = 595992797372270592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2828352 + ... + 2828544.

It is an arithmetic number, because the mean of its divisors is an integer number (6567288).

Almost surely, 2^545890464 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 545890464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945689472).

545890464 is an abundant number, since it is smaller than the sum of its proper divisors (1345488480).

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

545890464 is a wasteful number, since it uses less digits than its factorization.

545890464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 545890464 is about 23364.2989195054. The cubic root of 545890464 is about 817.2755425633.

The spelling of 545890464 in words is "five hundred forty-five million, eight hundred ninety thousand, four hundred sixty-four".