461892493440 has 384 divisors, whose sum is σ = 1885686566400. Its totient is φ = 101934637056.

The previous prime is 461892493421. The next prime is 461892493457. The reversal of 461892493440 is 44394298164.

461892493440 is a `hidden beast` number, since 4 + 61 + 8 + 92 + 493 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971769 + ... + 1366791.

It is an arithmetic number, because the mean of its divisors is an integer number (4910642100).

Almost surely, 2^461892493440 is an apocalyptic number.

461892493440 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 461892493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942843283200).

461892493440 is an abundant number, since it is smaller than the sum of its proper divisors (1423794072960).

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

461892493440 is a wasteful number, since it uses less digits than its factorization.

461892493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395084 (or 395069 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 461892493440 in words is "four hundred sixty-one billion, eight hundred ninety-two million, four hundred ninety-three thousand, four hundred forty".