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554004000 = 253253111399
BaseRepresentation
bin100001000001010…
…110111000100000
31102121110022121200
4201001112320200
52113311112000
6130550121200
716504646004
oct4101267040
91377408550
10554004000
112647a2450
12135650200
138aa12b24
1453812704
1533984500
hex21056e20

554004000 has 288 divisors, whose sum is σ = 2146435200. Its totient is φ = 134208000.

The previous prime is 554003999. The next prime is 554004037. The reversal of 554004000 is 400455.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 395301 + ... + 396699.

It is an arithmetic number, because the mean of its divisors is an integer number (7452900).

Almost surely, 2554004000 is an apocalyptic number.

554004000 is a gapful number since it is divisible by the number (50) 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 554004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073217600).

554004000 is an abundant number, since it is smaller than the sum of its proper divisors (1592431200).

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

554004000 is a wasteful number, since it uses less digits than its factorization.

554004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 554004000 is about 23537.2895635840. The cubic root of 554004000 is about 821.3046848902.

Adding to 554004000 its reverse (400455), we get a palindrome (554404455).

The spelling of 554004000 in words is "five hundred fifty-four million, four thousand".