406057456 has 80 divisors (see below), whose sum is σ = 943225344. Its totient is φ = 165572352.

The previous prime is 406057429. The next prime is 406057459. The reversal of 406057456 is 654750604.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406057459) 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, 728730 + ... + 729286.

Almost surely, 2^406057456 is an apocalyptic number.

406057456 is a gapful number since it is divisible by the number (46) 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 406057456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471612672).

406057456 is an abundant number, since it is smaller than the sum of its proper divisors (537167888).

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

406057456 is a wasteful number, since it uses less digits than its factorization.

406057456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The square root of 406057456 is about 20150.8673758724. The cubic root of 406057456 is about 740.5069912592.

It can be divided in two parts, 4060 and 57456, that added together give a palindrome (61516).

The spelling of 406057456 in words is "four hundred six million, fifty-seven thousand, four hundred fifty-six".