461656166400 has 1872 divisors, whose sum is σ = 2023047516672. Its totient is φ = 99090432000.

The previous prime is 461656166383. The next prime is 461656166423. The reversal of 461656166400 is 4661656164.

It is a happy number.

461656166400 is a `hidden beast` number, since 46 + 1 + 6 + 561 + 6 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

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 143 ways as a sum of consecutive naturals, for example, 4085452744 + ... + 4085452856.

It is an arithmetic number, because the mean of its divisors is an integer number (1080687776).

Almost surely, 2^461656166400 is an apocalyptic number.

461656166400 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 461656166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011523758336).

461656166400 is an abundant number, since it is smaller than the sum of its proper divisors (1561391350272).

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

461656166400 is a wasteful number, since it uses less digits than its factorization.

461656166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 461656166400 in words is "four hundred sixty-one billion, six hundred fifty-six million, one hundred sixty-six thousand, four hundred".