493759476 has 144 divisors (see below), whose sum is σ = 1510454400. Its totient is φ = 140978880.

The previous prime is 493759457. The next prime is 493759477. The reversal of 493759476 is 674957394.

It is a happy number.

493759476 is a `hidden beast` number, since 49 + 3 + 7 + 594 + 7 + 6 = 666.

It is a super-3 number, since 3×493759476³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493759477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332656 + ... + 334136.

Almost surely, 2^493759476 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 493759476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755227200).

493759476 is an abundant number, since it is smaller than the sum of its proper divisors (1016694924).

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

493759476 is a wasteful number, since it uses less digits than its factorization.

493759476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1493 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 493759476 is about 22220.6992689249. The cubic root of 493759476 is about 790.3846207027.

The spelling of 493759476 in words is "four hundred ninety-three million, seven hundred fifty-nine thousand, four hundred seventy-six".