460493100 has 180 divisors, whose sum is σ = 1507151800. Its totient is φ = 121616640.

The previous prime is 460493081. The next prime is 460493113. The reversal of 460493100 is 1394064.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×460493100² = 424107790295220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1125696 + ... + 1126104.

Almost surely, 2^460493100 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 460493100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753575900).

460493100 is an abundant number, since it is smaller than the sum of its proper divisors (1046658700).

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

460493100 is a wasteful number, since it uses less digits than its factorization.

460493100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 460493100 is about 21459.1029635444. The cubic root of 460493100 is about 772.2199946645.

The spelling of 460493100 in words is "four hundred sixty million, four hundred ninety-three thousand, one hundred".