461949713280 has 1280 divisors, whose sum is σ = 1859925576960. Its totient is φ = 108318228480.

The previous prime is 461949713227. The next prime is 461949713377. The reversal of 461949713280 is 82317949164.

461949713280 is a `hidden beast` number, since 4 + 6 + 19 + 497 + 132 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4088050504 + ... + 4088050616.

It is an arithmetic number, because the mean of its divisors is an integer number (1453066857).

Almost surely, 2^461949713280 is an apocalyptic number.

461949713280 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 461949713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929962788480).

461949713280 is an abundant number, since it is smaller than the sum of its proper divisors (1397975863680).

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

461949713280 is a wasteful number, since it uses less digits than its factorization.

461949713280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 461949713280 in words is "four hundred sixty-one billion, nine hundred forty-nine million, seven hundred thirteen thousand, two hundred eighty".