461351600 has 60 divisors (see below), whose sum is σ = 1111085136. Its totient is φ = 184093440.

The previous prime is 461351563. The next prime is 461351609. The reversal of 461351600 is 6153164.

It is a self number, because there is not a number n which added to its sum of digits gives 461351600.

It is not an unprimeable number, because it can be changed into a prime (461351609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200054 + ... + 202346.

Almost surely, 2^461351600 is an apocalyptic number.

461351600 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 461351600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555542568).

461351600 is an abundant number, since it is smaller than the sum of its proper divisors (649733536).

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

461351600 is a wasteful number, since it uses less digits than its factorization.

461351600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 461351600 is about 21479.0968152760. The cubic root of 461351600 is about 772.6995815179.

The spelling of 461351600 in words is "four hundred sixty-one million, three hundred fifty-one thousand, six hundred".