460970100 has 108 divisors (see below), whose sum is σ = 1454011104. Its totient is φ = 122149440.

The previous prime is 460970089. The next prime is 460970101. The reversal of 460970100 is 1079064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460970101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 148767 + ... + 151833.

Almost surely, 2^460970100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460970100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727005552).

460970100 is an abundant number, since it is smaller than the sum of its proper divisors (993041004).

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

460970100 is a wasteful number, since it uses less digits than its factorization.

460970100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3244 counting only the distinct ones).

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

The square root of 460970100 is about 21470.2142513763. The cubic root of 460970100 is about 772.4865363538.

The spelling of 460970100 in words is "four hundred sixty million, nine hundred seventy thousand, one hundred".