554349906 has 160 divisors (see below), whose sum is σ = 1486615680. Its totient is φ = 152409600.

The previous prime is 554349869. The next prime is 554349907. The reversal of 554349906 is 609943455.

554349906 is a `hidden beast` number, since 554 + 3 + 4 + 9 + 90 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (554349907) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 878211 + ... + 878841.

It is an arithmetic number, because the mean of its divisors is an integer number (9291348).

Almost surely, 2^554349906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 554349906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743307840).

554349906 is an abundant number, since it is smaller than the sum of its proper divisors (932265774).

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

554349906 is a wasteful number, since it uses less digits than its factorization.

554349906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 554349906 is about 23544.6364592873. The cubic root of 554349906 is about 821.4755832422.

The spelling of 554349906 in words is "five hundred fifty-four million, three hundred forty-nine thousand, nine hundred six".