1406306420 has 24 divisors (see below), whose sum is σ = 2954375424. Its totient is φ = 562306976.

The previous prime is 1406306417. The next prime is 1406306423. The reversal of 1406306420 is 246036041.

It is an interprime number because it is at equal distance from previous prime (1406306417) and next prime (1406306423).

It is a self number, because there is not a number n which added to its sum of digits gives 1406306420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406306423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46529 + ... + 70551.

It is an arithmetic number, because the mean of its divisors is an integer number (123098976).

Almost surely, 2^1406306420 is an apocalyptic number.

1406306420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1406306420 is an abundant number, since it is smaller than the sum of its proper divisors (1548069004).

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

1406306420 is a wasteful number, since it uses less digits than its factorization.

1406306420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26959 (or 26957 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 1406306420 is about 37500.7522591214. The cubic root of 1406306420 is about 1120.3661696007.

The spelling of 1406306420 in words is "one billion, four hundred six million, three hundred six thousand, four hundred twenty".