493264235520 has 440 divisors, whose sum is σ = 2020103468064. Its totient is φ = 112745447424.

The previous prime is 493264235467. The next prime is 493264235587. The reversal of 493264235520 is 25532462394.

493264235520 is a `hidden beast` number, since 4 + 9 + 32 + 64 + 2 + 3 + 552 + 0 = 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2818084 + ... + 2987996.

Almost surely, 2^493264235520 is an apocalyptic number.

493264235520 is a gapful number since it is divisible by the number (40) 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 493264235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010051734032).

493264235520 is an abundant number, since it is smaller than the sum of its proper divisors (1526839232544).

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

493264235520 is a wasteful number, since it uses less digits than its factorization.

493264235520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169957 (or 169930 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 493264235520 in words is "four hundred ninety-three billion, two hundred sixty-four million, two hundred thirty-five thousand, five hundred twenty".