461362455000 has 240 divisors, whose sum is σ = 1570456293120. Its totient is φ = 122316768000.

The previous prime is 461362454989. The next prime is 461362455011. The reversal of 461362455000 is 554263164.

461362455000 is a `hidden beast` number, since 46 + 1 + 3 + 62 + 4 + 550 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (461362454989) and next prime (461362455011).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7755369 + ... + 7814631.

It is an arithmetic number, because the mean of its divisors is an integer number (6543567888).

Almost surely, 2^461362455000 is an apocalyptic number.

461362455000 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 461362455000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785228146560).

461362455000 is an abundant number, since it is smaller than the sum of its proper divisors (1109093838120).

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

461362455000 is a wasteful number, since it uses less digits than its factorization.

461362455000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59468 (or 59446 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 461362455000 in words is "four hundred sixty-one billion, three hundred sixty-two million, four hundred fifty-five thousand".