462427000 has 128 divisors (see below), whose sum is σ = 1277153280. Its totient is φ = 153360000.

The previous prime is 462426949. The next prime is 462427003. The reversal of 462427000 is 724264.

It is a hoax number, since the sum of its digits (25) 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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462427003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215935 + ... + 218065.

It is an arithmetic number, because the mean of its divisors is an integer number (9977760).

Almost surely, 2^462427000 is an apocalyptic number.

462427000 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 462427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638576640).

462427000 is an abundant number, since it is smaller than the sum of its proper divisors (814726280).

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

462427000 is a wasteful number, since it uses less digits than its factorization.

462427000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 462427000 is about 21504.1158851044. The cubic root of 462427000 is about 773.2994972975.

The spelling of 462427000 in words is "four hundred sixty-two million, four hundred twenty-seven thousand".