460104480 has 288 divisors, whose sum is σ = 1769983488. Its totient is φ = 107827200.

The previous prime is 460104467. The next prime is 460104481. The reversal of 460104480 is 84401064.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×460104480² = 423392265032140800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (460104481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490572 + ... + 491508.

It is an arithmetic number, because the mean of its divisors is an integer number (6145776).

Almost surely, 2^460104480 is an apocalyptic number.

460104480 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 460104480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884991744).

460104480 is an abundant number, since it is smaller than the sum of its proper divisors (1309879008).

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

460104480 is a wasteful number, since it uses less digits than its factorization.

460104480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 460104480 is about 21450.0461537965. The cubic root of 460104480 is about 772.0027025239.

The spelling of 460104480 in words is "four hundred sixty million, one hundred four thousand, four hundred eighty".