405460001100 has 1728 divisors, whose sum is σ = 1689713851392. Its totient is φ = 74416742400.

The previous prime is 405460001087. The next prime is 405460001129. The reversal of 405460001100 is 1100064504.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 575 ways as a sum of consecutive naturals, for example, 7650188674 + ... + 7650188726.

It is an arithmetic number, because the mean of its divisors is an integer number (977843664).

Almost surely, 2^405460001100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405460001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844856925696).

405460001100 is an abundant number, since it is smaller than the sum of its proper divisors (1284253850292).

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

405460001100 is a wasteful number, since it uses less digits than its factorization.

405460001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 405460001100 its reverse (1100064504), we get a palindrome (406560065604).

The spelling of 405460001100 in words is "four hundred five billion, four hundred sixty million, one thousand, one hundred".