460910880 has 144 divisors (see below), whose sum is σ = 1579241664. Its totient is φ = 122411520.

The previous prime is 460910867. The next prime is 460910893. The reversal of 460910880 is 88019064.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (460910867) and next prime (460910893).

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476157 + ... + 477123.

It is an arithmetic number, because the mean of its divisors is an integer number (10966956).

Almost surely, 2^460910880 is an apocalyptic number.

460910880 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 460910880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789620832).

460910880 is an abundant number, since it is smaller than the sum of its proper divisors (1118330784).

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

460910880 is a wasteful number, since it uses less digits than its factorization.

460910880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 460910880 is about 21468.8350871676. The cubic root of 460910880 is about 772.4534549516.

The spelling of 460910880 in words is "four hundred sixty million, nine hundred ten thousand, eight hundred eighty".