461107987200 has 1080 divisors, whose sum is σ = 2011832345600. Its totient is φ = 101971353600.

The previous prime is 461107987099. The next prime is 461107987253. The reversal of 461107987200 is 2789701164.

It is a happy number.

461107987200 is a `hidden beast` number, since 4 + 611 + 0 + 7 + 9 + 8 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 112490751 + ... + 112494849.

Almost surely, 2^461107987200 is an apocalyptic number.

461107987200 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 461107987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005916172800).

461107987200 is an abundant number, since it is smaller than the sum of its proper divisors (1550724358400).

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

461107987200 is a wasteful number, since it uses less digits than its factorization.

461107987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4175 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 461107987200 in words is "four hundred sixty-one billion, one hundred seven million, nine hundred eighty-seven thousand, two hundred".