460361440 has 288 divisors, whose sum is σ = 1415715840. Its totient is φ = 138378240.

The previous prime is 460361417. The next prime is 460361441. The reversal of 460361440 is 44163064.

460361440 = T₄₇₅ + T₄₇₆ + ... + T₁₄₂₀.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 460361399 and 460361408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460361441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5827321 + ... + 5827399.

It is an arithmetic number, because the mean of its divisors is an integer number (4915680).

Almost surely, 2^460361440 is an apocalyptic number.

460361440 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 460361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707857920).

460361440 is an abundant number, since it is smaller than the sum of its proper divisors (955354400).

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

460361440 is a wasteful number, since it uses less digits than its factorization.

460361440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 460361440 is about 21456.0350484427. The cubic root of 460361440 is about 772.1463922764.

The spelling of 460361440 in words is "four hundred sixty million, three hundred sixty-one thousand, four hundred forty".