493964571520 has 256 divisors, whose sum is σ = 1366671398400. Its totient is φ = 167228006400.

The previous prime is 493964571509. The next prime is 493964571629. The reversal of 493964571520 is 25175469394.

It is a super-2 number, since 2×493964571520² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123829686 + ... + 123833674.

It is an arithmetic number, because the mean of its divisors is an integer number (5338560150).

Almost surely, 2^493964571520 is an apocalyptic number.

493964571520 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 493964571520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683335699200).

493964571520 is an abundant number, since it is smaller than the sum of its proper divisors (872706826880).

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

493964571520 is a wasteful number, since it uses less digits than its factorization.

493964571520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 55.

The spelling of 493964571520 in words is "four hundred ninety-three billion, nine hundred sixty-four million, five hundred seventy-one thousand, five hundred twenty".