554112900 has 252 divisors, whose sum is σ = 1969551024. Its totient is φ = 134136000.

The previous prime is 554112893. The next prime is 554112907. The reversal of 554112900 is 9211455.

It is an interprime number because it is at equal distance from previous prime (554112893) and next prime (554112907).

It is a super-2 number, since 2×554112900² = 614082211892820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (554112907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 801555 + ... + 802245.

Almost surely, 2^554112900 is an apocalyptic number.

554112900 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 554112900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984775512).

554112900 is an abundant number, since it is smaller than the sum of its proper divisors (1415438124).

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

554112900 is a wasteful number, since it uses less digits than its factorization.

554112900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 554112900 is about 23539.6028003873. The cubic root of 554112900 is about 821.3584957054.

It can be divided in two parts, 55411 and 2900, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 554112900 in words is "five hundred fifty-four million, one hundred twelve thousand, nine hundred".