460414070200 has 192 divisors, whose sum is σ = 1309910356800. Its totient is φ = 146900582400.

The previous prime is 460414070191. The next prime is 460414070227. The reversal of 460414070200 is 2070414064.

It is a super-2 number, since 2×460414070200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2009520 + ... + 2226880.

It is an arithmetic number, because the mean of its divisors is an integer number (6822449775).

Almost surely, 2^460414070200 is an apocalyptic number.

460414070200 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 460414070200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654955178400).

460414070200 is an abundant number, since it is smaller than the sum of its proper divisors (849496286600).

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

460414070200 is a wasteful number, since it uses less digits than its factorization.

460414070200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217490 (or 217481 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

Adding to 460414070200 its reverse (2070414064), we get a palindrome (462484484264).

The spelling of 460414070200 in words is "four hundred sixty billion, four hundred fourteen million, seventy thousand, two hundred".