406419000100 has 81 divisors (see below), whose sum is σ = 906935739507. Its totient is φ = 158082079680.

The previous prime is 406419000073. The next prime is 406419000131. The reversal of 406419000100 is 1000914604.

The square root of 406419000100 is 637510.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 38581602084 + 367837398016 = 196422^2 + 606496^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 235877839 + ... + 235879561.

Almost surely, 2^406419000100 is an apocalyptic number.

406419000100 is the 637510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406419000100

406419000100 is an abundant number, since it is smaller than the sum of its proper divisors (500516739407).

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

406419000100 is an equidigital number, since it uses as much as digits as its factorization.

406419000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Multiplying 406419000100 by its sum of digits (25), we get a square (10160475002500 = 3187550²).

406419000100 divided by its sum of digits (25) gives a square (16256760004 = 127502²).

Adding to 406419000100 its reverse (1000914604), we get a palindrome (407419914704).

The spelling of 406419000100 in words is "four hundred six billion, four hundred nineteen million, one hundred", and thus it is an aban number.