461285442360 has 384 divisors, whose sum is σ = 1583852175360. Its totient is φ = 116259148800.

The previous prime is 461285442353. The next prime is 461285442451. The reversal of 461285442360 is 63244582164.

461285442360 is a `hidden beast` number, since 4 + 6 + 1 + 28 + 544 + 23 + 60 = 666.

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 95 ways as a sum of consecutive naturals, for example, 447415045 + ... + 447416075.

It is an arithmetic number, because the mean of its divisors is an integer number (4124615040).

Almost surely, 2^461285442360 is an apocalyptic number.

461285442360 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 461285442360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791926087680).

461285442360 is an abundant number, since it is smaller than the sum of its proper divisors (1122566733000).

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

461285442360 is a wasteful number, since it uses less digits than its factorization.

461285442360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 461285442360 in words is "four hundred sixty-one billion, two hundred eighty-five million, four hundred forty-two thousand, three hundred sixty".