554879520 has 144 divisors (see below), whose sum is σ = 2039251032. Its totient is φ = 136581120.

The previous prime is 554879519. The next prime is 554879537. The reversal of 554879520 is 25978455.

554879520 is a `hidden beast` number, since 5 + 54 + 8 + 79 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 477509904 + 77369616 = 21852^2 + 8796^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3900 + ... + 33540.

Almost surely, 2^554879520 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 554879520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019625516).

554879520 is an abundant number, since it is smaller than the sum of its proper divisors (1484371512).

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

554879520 is a wasteful number, since it uses less digits than its factorization.

554879520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29675 (or 29664 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 554879520 is about 23555.8807944004. The cubic root of 554879520 is about 821.7371066878.

The spelling of 554879520 in words is "five hundred fifty-four million, eight hundred seventy-nine thousand, five hundred twenty".