461527962480 has 400 divisors, whose sum is σ = 1729357439040. Its totient is φ = 113403027456.

The previous prime is 461527962479. The next prime is 461527962481. The reversal of 461527962480 is 84269725164.

461527962480 is a `hidden beast` number, since 4 + 6 + 1 + 5 + 2 + 7 + 9 + 624 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (461527962479) and next prime (461527962481).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461527962481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49949701 + ... + 49958939.

Almost surely, 2^461527962480 is an apocalyptic number.

461527962480 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 461527962480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864678719520).

461527962480 is an abundant number, since it is smaller than the sum of its proper divisors (1267829476560).

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

461527962480 is a wasteful number, since it uses less digits than its factorization.

461527962480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9870 (or 9855 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 461527962480 in words is "four hundred sixty-one billion, five hundred twenty-seven million, nine hundred sixty-two thousand, four hundred eighty".