460425600 has 288 divisors, whose sum is σ = 1708428600. Its totient is φ = 121098240.

The previous prime is 460425593. The next prime is 460425617. The reversal of 460425600 is 6524064.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

460425600 is a `hidden beast` number, since 4 + 60 + 42 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6307164 + ... + 6307236.

Almost surely, 2^460425600 is an apocalyptic number.

460425600 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 460425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854214300).

460425600 is an abundant number, since it is smaller than the sum of its proper divisors (1248003000).

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

460425600 is an equidigital number, since it uses as much as digits as its factorization.

460425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 460425600 is about 21457.5301467806. The cubic root of 460425600 is about 772.1822616368.

Adding to 460425600 its reverse (6524064), we get a palindrome (466949664).

The spelling of 460425600 in words is "four hundred sixty million, four hundred twenty-five thousand, six hundred".