1406794320 has 120 divisors (see below), whose sum is σ = 4753865376. Its totient is φ = 372812544.

The previous prime is 1406794303. The next prime is 1406794327. The reversal of 1406794320 is 234976041.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406794327) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 111367 + ... + 123353.

Almost surely, 2^1406794320 is an apocalyptic number.

1406794320 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 1406794320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376932688).

1406794320 is an abundant number, since it is smaller than the sum of its proper divisors (3347071056).

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

1406794320 is a wasteful number, since it uses less digits than its factorization.

1406794320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12169 (or 12160 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1406794320 is about 37507.2568978325. The cubic root of 1406794320 is about 1120.4957201841.

The spelling of 1406794320 in words is "one billion, four hundred six million, seven hundred ninety-four thousand, three hundred twenty".