461347971840 has 1152 divisors, whose sum is σ = 1947044413440. Its totient is φ = 101224857600.

The previous prime is 461347971803. The next prime is 461347971841. The reversal of 461347971840 is 48179743164.

It is a happy number.

461347971840 is a `hidden beast` number, since 4 + 61 + 3 + 479 + 71 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×461347971840² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (461347971841) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1702390905 + ... + 1702391175.

It is an arithmetic number, because the mean of its divisors is an integer number (1690142720).

Almost surely, 2^461347971840 is an apocalyptic number.

461347971840 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 461347971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973522206720).

461347971840 is an abundant number, since it is smaller than the sum of its proper divisors (1485696441600).

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

461347971840 is a wasteful number, since it uses less digits than its factorization.

461347971840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 461347971840 in words is "four hundred sixty-one billion, three hundred forty-seven million, nine hundred seventy-one thousand, eight hundred forty".