553263480 has 256 divisors, whose sum is σ = 2299622400. Its totient is φ = 114946560.

The previous prime is 553263463. The next prime is 553263497. The reversal of 553263480 is 84362355.

It is a happy number.

553263480 is a `hidden beast` number, since 553 + 2 + 63 + 48 + 0 = 666.

553263480 is a nontrivial binomial coefficient, being equal to C(33265, 2).

It is an interprime number because it is at equal distance from previous prime (553263463) and next prime (553263497).

It is a super-2 number, since 2×553263480² = 612200956603420800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79834 + ... + 86486.

It is an arithmetic number, because the mean of its divisors is an integer number (8982900).

Almost surely, 2^553263480 is an apocalyptic number.

553263480 is the 33264-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553263480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149811200).

553263480 is an abundant number, since it is smaller than the sum of its proper divisors (1746358920).

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

553263480 is a wasteful number, since it uses less digits than its factorization.

553263480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6691 (or 6681 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 553263480 is about 23521.5535201228. The cubic root of 553263480 is about 820.9385842058.

The spelling of 553263480 in words is "five hundred fifty-three million, two hundred sixty-three thousand, four hundred eighty".