553749480 has 128 divisors (see below), whose sum is σ = 1854720000. Its totient is φ = 146956032.

The previous prime is 553749463. The next prime is 553749491. The reversal of 553749480 is 84947355.

553749480 is a `hidden beast` number, since 55 + 37 + 494 + 80 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 246201 + ... + 248439.

It is an arithmetic number, because the mean of its divisors is an integer number (14490000).

Almost surely, 2^553749480 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 553749480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927360000).

553749480 is an abundant number, since it is smaller than the sum of its proper divisors (1300970520).

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

553749480 is a wasteful number, since it uses less digits than its factorization.

553749480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 553749480 is about 23531.8822026628. The cubic root of 553749480 is about 821.1788912807.

The spelling of 553749480 in words is "five hundred fifty-three million, seven hundred forty-nine thousand, four hundred eighty".