460150364940 has 192 divisors, whose sum is σ = 1562188185600. Its totient is φ = 98856785664.

The previous prime is 460150364939. The next prime is 460150364941. The reversal of 460150364940 is 49463051064.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (460150364939) and next prime (460150364941).

It is a super-3 number, since 3×460150364940³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 460150364892 and 460150364901.

It is not an unprimeable number, because it can be changed into a prime (460150364941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786441 + ... + 1240479.

It is an arithmetic number, because the mean of its divisors is an integer number (8136396800).

Almost surely, 2^460150364940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460150364940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781094092800).

460150364940 is an abundant number, since it is smaller than the sum of its proper divisors (1102037820660).

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

460150364940 is a wasteful number, since it uses less digits than its factorization.

460150364940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454204 (or 454202 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 460150364940 in words is "four hundred sixty billion, one hundred fifty million, three hundred sixty-four thousand, nine hundred forty".