406489017600 has 432 divisors, whose sum is σ = 1502015739840. Its totient is φ = 107563622400.

The previous prime is 406489017593. The next prime is 406489017617. The reversal of 406489017600 is 6710984604.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

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, 22627822 + ... + 22645778.

Almost surely, 2^406489017600 is an apocalyptic number.

406489017600 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 406489017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751007869920).

406489017600 is an abundant number, since it is smaller than the sum of its proper divisors (1095526722240).

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

406489017600 is a wasteful number, since it uses less digits than its factorization.

406489017600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18123 (or 18098 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 406489017600 in words is "four hundred six billion, four hundred eighty-nine million, seventeen thousand, six hundred".