240492000 has 288 divisors, whose sum is σ = 918721440. Its totient is φ = 54835200.

The previous prime is 240491963. The next prime is 240492001. The reversal of 240492000 is 294042.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240492001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587796 + ... + 588204.

It is an arithmetic number, because the mean of its divisors is an integer number (3190005).

Almost surely, 2^240492000 is an apocalyptic number.

240492000 is a gapful number since it is divisible by the number (20) 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 240492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459360720).

240492000 is an abundant number, since it is smaller than the sum of its proper divisors (678229440).

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

240492000 is a wasteful number, since it uses less digits than its factorization.

240492000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 240492000 is about 15507.8044867737. The cubic root of 240492000 is about 621.8708664490.

The spelling of 240492000 in words is "two hundred forty million, four hundred ninety-two thousand".