554964480 has 640 divisors, whose sum is σ = 2388418560. Its totient is φ = 119439360.

The previous prime is 554964467. The next prime is 554964481. The reversal of 554964480 is 84469455.

554964480 is a `hidden beast` number, since 5 + 549 + 64 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554964481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14999022 + ... + 14999058.

It is an arithmetic number, because the mean of its divisors is an integer number (3731904).

Almost surely, 2^554964480 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 554964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194209280).

554964480 is an abundant number, since it is smaller than the sum of its proper divisors (1833454080).

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

554964480 is a wasteful number, since it uses less digits than its factorization.

554964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

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

The square root of 554964480 is about 23557.6840967019. The cubic root of 554964480 is about 821.7790444534.

The spelling of 554964480 in words is "five hundred fifty-four million, nine hundred sixty-four thousand, four hundred eighty".