492962000 has 80 divisors (see below), whose sum is σ = 1230587904. Its totient is φ = 190800000.

The previous prime is 492961993. The next prime is 492962021. The reversal of 492962000 is 269294.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58025 + ... + 65975.

Almost surely, 2^492962000 is an apocalyptic number.

492962000 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 492962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615293952).

492962000 is an abundant number, since it is smaller than the sum of its proper divisors (737625904).

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

492962000 is a wasteful number, since it uses less digits than its factorization.

492962000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8005 (or 7989 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 492962000 is about 22202.7475777211. The cubic root of 492962000 is about 789.9588719709.

The spelling of 492962000 in words is "four hundred ninety-two million, nine hundred sixty-two thousand".