405274060800 has 1728 divisors, whose sum is σ = 1796809996800. Its totient is φ = 89181388800.

The previous prime is 405274060781. The next prime is 405274060859. The reversal of 405274060800 is 8060472504.

405274060800 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 7 + 40 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2099865504 + ... + 2099865696.

It is an arithmetic number, because the mean of its divisors is an integer number (1039820600).

Almost surely, 2^405274060800 is an apocalyptic number.

405274060800 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 405274060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898404998400).

405274060800 is an abundant number, since it is smaller than the sum of its proper divisors (1391535936000).

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

405274060800 is a wasteful number, since it uses less digits than its factorization.

405274060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 405274060800 in words is "four hundred five billion, two hundred seventy-four million, sixty thousand, eight hundred".