553985460 has 384 divisors, whose sum is σ = 2151152640. Its totient is φ = 115458048.

The previous prime is 553985441. The next prime is 553985479. The reversal of 553985460 is 64589355.

553985460 is a `hidden beast` number, since 5 + 539 + 8 + 54 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (553985441) and next prime (553985479).

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2377504 + ... + 2377736.

It is an arithmetic number, because the mean of its divisors is an integer number (5601960).

Almost surely, 2^553985460 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 553985460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075576320).

553985460 is an abundant number, since it is smaller than the sum of its proper divisors (1597167180).

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

553985460 is a wasteful number, since it uses less digits than its factorization.

553985460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 553985460 is about 23536.8957171501. The cubic root of 553985460 is about 821.2955230077.

The spelling of 553985460 in words is "five hundred fifty-three million, nine hundred eighty-five thousand, four hundred sixty".