460040280 has 128 divisors (see below), whose sum is σ = 1584161280. Its totient is φ = 104693760.

The previous prime is 460040261. The next prime is 460040297. The reversal of 460040280 is 82040064.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 460040280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214815 + ... + 216945.

It is an arithmetic number, because the mean of its divisors is an integer number (12376260).

Almost surely, 2^460040280 is an apocalyptic number.

460040280 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 460040280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792080640).

460040280 is an abundant number, since it is smaller than the sum of its proper divisors (1124121000).

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

460040280 is a wasteful number, since it uses less digits than its factorization.

460040280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 460040280 is about 21448.5496013134. The cubic root of 460040280 is about 771.9667941009.

It can be divided in two parts, 460040 and 280, that added together give a triangular number (460320 = T₉₅₉).

The spelling of 460040280 in words is "four hundred sixty million, forty thousand, two hundred eighty".