460102400 has 216 divisors, whose sum is σ = 1227994320. Its totient is φ = 170311680.

The previous prime is 460102397. The next prime is 460102417. The reversal of 460102400 is 4201064.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6867167 + ... + 6867233.

Almost surely, 2^460102400 is an apocalyptic number.

460102400 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 460102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613997160).

460102400 is an abundant number, since it is smaller than the sum of its proper divisors (767891920).

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

460102400 is a wasteful number, since it uses less digits than its factorization.

460102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 460102400 is about 21449.9976689975. The cubic root of 460102400 is about 772.0015391881.

Adding to 460102400 its reverse (4201064), we get a palindrome (464303464).

The spelling of 460102400 in words is "four hundred sixty million, one hundred two thousand, four hundred".