460971000 has 384 divisors, whose sum is σ = 1853429760. Its totient is φ = 104976000.

The previous prime is 460970999. The next prime is 460971001. The reversal of 460971000 is 179064.

It is an interprime number because it is at equal distance from previous prime (460970999) and next prime (460971001).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460971001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1700865 + ... + 1701135.

It is an arithmetic number, because the mean of its divisors is an integer number (4826640).

Almost surely, 2^460971000 is an apocalyptic number.

460971000 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 460971000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926714880).

460971000 is an abundant number, since it is smaller than the sum of its proper divisors (1392458760).

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

460971000 is a wasteful number, since it uses less digits than its factorization.

460971000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 460971000 is about 21470.2352106352. The cubic root of 460971000 is about 772.4870390888.

The spelling of 460971000 in words is "four hundred sixty million, nine hundred seventy-one thousand".