461265477120 has 2240 divisors, whose sum is σ = 2102172880896. Its totient is φ = 94595973120.

The previous prime is 461265477107. The next prime is 461265477143. The reversal of 461265477120 is 21774562164.

461265477120 is a `hidden beast` number, since 4 + 6 + 12 + 6 + 547 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6884559327 + ... + 6884559393.

Almost surely, 2^461265477120 is an apocalyptic number.

461265477120 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 461265477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051086440448).

461265477120 is an abundant number, since it is smaller than the sum of its proper divisors (1640907403776).

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

461265477120 is an equidigital number, since it uses as much as digits as its factorization.

461265477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 461265477120 in words is "four hundred sixty-one billion, two hundred sixty-five million, four hundred seventy-seven thousand, one hundred twenty".