1406406078 has 160 divisors (see below), whose sum is σ = 4056864768. Its totient is φ = 353419200.

The previous prime is 1406406061. The next prime is 1406406097. The reversal of 1406406078 is 8706046041.

1406406078 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 40 + 607 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 384876 + ... + 388512.

Almost surely, 2^1406406078 is an apocalyptic number.

1406406078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406406078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028432384).

1406406078 is an abundant number, since it is smaller than the sum of its proper divisors (2650458690).

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

1406406078 is a wasteful number, since it uses less digits than its factorization.

1406406078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1406406078 is about 37502.0809822602. The cubic root of 1406406078 is about 1120.3926339172.

The spelling of 1406406078 in words is "one billion, four hundred six million, four hundred six thousand, seventy-eight".