554406480 has 240 divisors, whose sum is σ = 1959160320. Its totient is φ = 140313600.

The previous prime is 554406403. The next prime is 554406487. The reversal of 554406480 is 84604455.

554406480 is a `hidden beast` number, since 5 + 5 + 4 + 4 + 0 + 648 + 0 = 666.

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

It is a super-3 number, since 3×554406480³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554406487) 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, 1316670 + ... + 1317090.

It is an arithmetic number, because the mean of its divisors is an integer number (8163168).

Almost surely, 2^554406480 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 554406480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979580160).

554406480 is an abundant number, since it is smaller than the sum of its proper divisors (1404753840).

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

554406480 is a wasteful number, since it uses less digits than its factorization.

554406480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 554406480 is about 23545.8378487579. The cubic root of 554406480 is about 821.5035274331.

The spelling of 554406480 in words is "five hundred fifty-four million, four hundred six thousand, four hundred eighty".