461190758400 has 768 divisors, whose sum is σ = 1755289440000. Its totient is φ = 118578216960.

The previous prime is 461190758351. The next prime is 461190758401. The reversal of 461190758400 is 4857091164.

461190758400 is a `hidden beast` number, since 4 + 6 + 1 + 190 + 7 + 58 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461190758401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 641433241 + ... + 641433959.

It is an arithmetic number, because the mean of its divisors is an integer number (2285533125).

Almost surely, 2^461190758400 is an apocalyptic number.

461190758400 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 461190758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877644720000).

461190758400 is an abundant number, since it is smaller than the sum of its proper divisors (1294098681600).

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

461190758400 is an equidigital number, since it uses as much as digits as its factorization.

461190758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 461190758400 in words is "four hundred sixty-one billion, one hundred ninety million, seven hundred fifty-eight thousand, four hundred".