460107426240 has 2016 divisors, whose sum is σ = 2175711363072. Its totient is φ = 86394470400.

The previous prime is 460107426239. The next prime is 460107426241. The reversal of 460107426240 is 42624701064.

460107426240 is a `hidden beast` number, since 4 + 601 + 0 + 7 + 4 + 2 + 6 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (460107426239) and next prime (460107426241).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 460107426195 and 460107426204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460107426241) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3622893057 + ... + 3622893183.

Almost surely, 2^460107426240 is an apocalyptic number.

460107426240 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 460107426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087855681536).

460107426240 is an abundant number, since it is smaller than the sum of its proper divisors (1715603936832).

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

460107426240 is a wasteful number, since it uses less digits than its factorization.

460107426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 460107426240 in words is "four hundred sixty billion, one hundred seven million, four hundred twenty-six thousand, two hundred forty".