553468320 has 288 divisors, whose sum is σ = 2088882432. Its totient is φ = 132734976.

The previous prime is 553468301. The next prime is 553468339. The reversal of 553468320 is 23864355.

It is a happy number.

553468320 is a `hidden beast` number, since 553 + 4 + 6 + 83 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (553468301) and next prime (553468339).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562549 + ... + 563531.

It is an arithmetic number, because the mean of its divisors is an integer number (7253064).

Almost surely, 2^553468320 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 553468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044441216).

553468320 is an abundant number, since it is smaller than the sum of its proper divisors (1535414112).

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

553468320 is a wasteful number, since it uses less digits than its factorization.

553468320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1033 counting only the distinct ones).

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

The square root of 553468320 is about 23525.9074213940. The cubic root of 553468320 is about 821.0398863380.

The spelling of 553468320 in words is "five hundred fifty-three million, four hundred sixty-eight thousand, three hundred twenty".