92405940480 has 1512 divisors, whose sum is σ = 403423396992. Its totient is φ = 20191223808.

The previous prime is 92405940461. The next prime is 92405940493. The reversal of 92405940480 is 8404950429.

92405940480 is a `hidden beast` number, since 92 + 40 + 5 + 9 + 40 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1966083817 + ... + 1966083863.

It is an arithmetic number, because the mean of its divisors is an integer number (266814416).

Almost surely, 2^92405940480 is an apocalyptic number.

92405940480 is a gapful number since it is divisible by the number (90) 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 92405940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201711698496).

92405940480 is an abundant number, since it is smaller than the sum of its proper divisors (311017456512).

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

92405940480 is an equidigital number, since it uses as much as digits as its factorization.

92405940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 92405940480 in words is "ninety-two billion, four hundred five million, nine hundred forty thousand, four hundred eighty".