493973760 has 576 divisors, whose sum is σ = 2034450432. Its totient is φ = 99483648.

The previous prime is 493973759. The next prime is 493973801. The reversal of 493973760 is 67379394.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10510057 + ... + 10510103.

It is an arithmetic number, because the mean of its divisors is an integer number (3532032).

Almost surely, 2^493973760 is an apocalyptic number.

493973760 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 493973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017225216).

493973760 is an abundant number, since it is smaller than the sum of its proper divisors (1540476672).

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

493973760 is a wasteful number, since it uses less digits than its factorization.

493973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 48.

The square root of 493973760 is about 22225.5204663468. The cubic root of 493973760 is about 790.4989424129.

The spelling of 493973760 in words is "four hundred ninety-three million, nine hundred seventy-three thousand, seven hundred sixty".