460961280 has 560 divisors, whose sum is σ = 1878473520. Its totient is φ = 107495424.

The previous prime is 460961279. The next prime is 460961309. The reversal of 460961280 is 82169064.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24261111 + ... + 24261129.

It is an arithmetic number, because the mean of its divisors is an integer number (3354417).

Almost surely, 2^460961280 is an apocalyptic number.

460961280 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 460961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939236760).

460961280 is an abundant number, since it is smaller than the sum of its proper divisors (1417512240).

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

460961280 is an equidigital number, since it uses as much as digits as its factorization.

460961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 460961280 is about 21470.0088495557. The cubic root of 460961280 is about 772.4816095160.

The spelling of 460961280 in words is "four hundred sixty million, nine hundred sixty-one thousand, two hundred eighty".