460064245600 has 144 divisors (see below), whose sum is σ = 1155036416688. Its totient is φ = 178811504640.

The previous prime is 460064245579. The next prime is 460064245603. The reversal of 460064245600 is 6542460064.

It is a super-2 number, since 2×460064245600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 460064245600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460064245603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22870747 + ... + 22890853.

It is an arithmetic number, because the mean of its divisors is an integer number (8021086227).

Almost surely, 2^460064245600 is an apocalyptic number.

460064245600 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 460064245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577518208344).

460064245600 is an abundant number, since it is smaller than the sum of its proper divisors (694972171088).

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

460064245600 is a wasteful number, since it uses less digits than its factorization.

460064245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20937 (or 20924 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 460064245600 in words is "four hundred sixty billion, sixty-four million, two hundred forty-five thousand, six hundred".