406819776 has 112 divisors (see below), whose sum is σ = 1191207168. Its totient is φ = 121497600.

The previous prime is 406819771. The next prime is 406819783. The reversal of 406819776 is 677918604.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406819771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148596 + ... + 151308.

Almost surely, 2^406819776 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 406819776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595603584).

406819776 is an abundant number, since it is smaller than the sum of its proper divisors (784387392).

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

406819776 is a wasteful number, since it uses less digits than its factorization.

406819776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 406819776 is about 20169.7738212405. The cubic root of 406819776 is about 740.9701033867.

The spelling of 406819776 in words is "four hundred six million, eight hundred nineteen thousand, seven hundred seventy-six".