493504128 has 192 divisors, whose sum is σ = 1580167680. Its totient is φ = 146810880.

The previous prime is 493504057. The next prime is 493504133. The reversal of 493504128 is 821405394.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 493504092 and 493504101.

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, 463725 + ... + 464787.

It is an arithmetic number, because the mean of its divisors is an integer number (8230040).

Almost surely, 2^493504128 is an apocalyptic number.

493504128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493504128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790083840).

493504128 is an abundant number, since it is smaller than the sum of its proper divisors (1086663552).

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

493504128 is a wasteful number, since it uses less digits than its factorization.

493504128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 493504128 is about 22214.9528021106. The cubic root of 493504128 is about 790.2483479202.

The spelling of 493504128 in words is "four hundred ninety-three million, five hundred four thousand, one hundred twenty-eight".