492787800 has 240 divisors, whose sum is σ = 1802730600. Its totient is φ = 124416000.

The previous prime is 492787759. The next prime is 492787843. The reversal of 492787800 is 8787294.

492787800 is a `hidden beast` number, since 492 + 7 + 87 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 307000 + ... + 308600.

Almost surely, 2^492787800 is an apocalyptic number.

492787800 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 492787800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901365300).

492787800 is an abundant number, since it is smaller than the sum of its proper divisors (1309942800).

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

492787800 is a wasteful number, since it uses less digits than its factorization.

492787800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 492787800 is about 22198.8242931917. The cubic root of 492787800 is about 789.8658106748.

The spelling of 492787800 in words is "four hundred ninety-two million, seven hundred eighty-seven thousand, eight hundred".