493011972 has 72 divisors (see below), whose sum is σ = 1299217920. Its totient is φ = 157455360.

The previous prime is 493011947. The next prime is 493011973. The reversal of 493011972 is 279110394.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (493011973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112804 + ... + 117092.

Almost surely, 2^493011972 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 493011972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649608960).

493011972 is an abundant number, since it is smaller than the sum of its proper divisors (806205948).

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

493011972 is a wasteful number, since it uses less digits than its factorization.

493011972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 493011972 is about 22203.8729054190. The cubic root of 493011972 is about 789.9855640154.

The spelling of 493011972 in words is "four hundred ninety-three million, eleven thousand, nine hundred seventy-two".