406327440 has 40 divisors (see below), whose sum is σ = 1259615808. Its totient is φ = 108353920.

The previous prime is 406327433. The next prime is 406327477. The reversal of 406327440 is 44723604.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 406327398 and 406327407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 846276 + ... + 846755.

Almost surely, 2^406327440 is an apocalyptic number.

406327440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406327440 is an abundant number, since it is smaller than the sum of its proper divisors (853288368).

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

406327440 is a wasteful number, since it uses less digits than its factorization.

406327440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693047 (or 1693041 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 406327440 is about 20157.5653291760. The cubic root of 406327440 is about 740.6710737418.

The spelling of 406327440 in words is "four hundred six million, three hundred twenty-seven thousand, four hundred forty".