1406807420 has 48 divisors (see below), whose sum is σ = 3088931328. Its totient is φ = 537176640.

The previous prime is 1406807417. The next prime is 1406807453. The reversal of 1406807420 is 247086041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248825 + ... + 254415.

It is an arithmetic number, because the mean of its divisors is an integer number (64352736).

Almost surely, 2^1406807420 is an apocalyptic number.

1406807420 is a gapful number since it is divisible by the number (10) 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 1406807420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544465664).

1406807420 is an abundant number, since it is smaller than the sum of its proper divisors (1682123908).

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

1406807420 is a wasteful number, since it uses less digits than its factorization.

1406807420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6170 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 1406807420 is about 37507.4315302981. The cubic root of 1406807420 is about 1120.4991981738.

The spelling of 1406807420 in words is "one billion, four hundred six million, eight hundred seven thousand, four hundred twenty".