460729440 has 144 divisors (see below), whose sum is σ = 1623113856. Its totient is φ = 118886400.

The previous prime is 460729417. The next prime is 460729441. The reversal of 460729440 is 44927064.

460729440 is a `hidden beast` number, since 4 + 607 + 2 + 9 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 460729395 and 460729404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460729441) 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, 39480 + ... + 49800.

It is an arithmetic number, because the mean of its divisors is an integer number (11271624).

Almost surely, 2^460729440 is an apocalyptic number.

460729440 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 460729440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811556928).

460729440 is an abundant number, since it is smaller than the sum of its proper divisors (1162384416).

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

460729440 is a wasteful number, since it uses less digits than its factorization.

460729440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10373 (or 10362 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 460729440 is about 21464.6090111141. The cubic root of 460729440 is about 772.3520815222.

The spelling of 460729440 in words is "four hundred sixty million, seven hundred twenty-nine thousand, four hundred forty".