493392000 has 256 divisors, whose sum is σ = 1724860800. Its totient is φ = 124416000.

The previous prime is 493391989. The next prime is 493392017. The reversal of 493392000 is 293394.

It is a hoax number, since the sum of its digits (30) 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 (30).

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, 911730 + ... + 912270.

Almost surely, 2^493392000 is an apocalyptic number.

493392000 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 493392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862430400).

493392000 is an abundant number, since it is smaller than the sum of its proper divisors (1231468800).

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

493392000 is a wasteful number, since it uses less digits than its factorization.

493392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 493392000 is about 22212.4289531784. The cubic root of 493392000 is about 790.1884931838.

The spelling of 493392000 in words is "four hundred ninety-three million, three hundred ninety-two thousand".