460425000 has 192 divisors, whose sum is σ = 1646144640. Its totient is φ = 105120000.

The previous prime is 460424969. The next prime is 460425001. The reversal of 460425000 is 524064.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (460425001) 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, 524562 + ... + 525438.

It is an arithmetic number, because the mean of its divisors is an integer number (8573670).

Almost surely, 2^460425000 is an apocalyptic number.

460425000 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 460425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823072320).

460425000 is an abundant number, since it is smaller than the sum of its proper divisors (1185719640).

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

460425000 is an equidigital number, since it uses as much as digits as its factorization.

460425000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 460425000 is about 21457.5161656702. The cubic root of 460425000 is about 772.1819262156.

Adding to 460425000 its reverse (524064), we get a palindrome (460949064).

The spelling of 460425000 in words is "four hundred sixty million, four hundred twenty-five thousand".