493051104 has 192 divisors, whose sum is σ = 1770209280. Its totient is φ = 130014720.

The previous prime is 493051079. The next prime is 493051129. The reversal of 493051104 is 401150394.

It is an interprime number because it is at equal distance from previous prime (493051079) and next prime (493051129).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 75489 + ... + 81759.

It is an arithmetic number, because the mean of its divisors is an integer number (9219840).

Almost surely, 2^493051104 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 493051104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885104640).

493051104 is an abundant number, since it is smaller than the sum of its proper divisors (1277158176).

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

493051104 is a wasteful number, since it uses less digits than its factorization.

493051104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6310 (or 6296 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 493051104 is about 22204.7540855556. The cubic root of 493051104 is about 790.0064647230.

The spelling of 493051104 in words is "four hundred ninety-three million, fifty-one thousand, one hundred four".