1406770400 has 216 divisors, whose sum is σ = 4231979136. Its totient is φ = 453734400.

The previous prime is 1406770373. The next prime is 1406770423. The reversal of 1406770400 is 40776041.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 665345 + ... + 667455.

It is an arithmetic number, because the mean of its divisors is an integer number (19592496).

Almost surely, 2^1406770400 is an apocalyptic number.

1406770400 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 1406770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115989568).

1406770400 is an abundant number, since it is smaller than the sum of its proper divisors (2825208736).

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

1406770400 is a wasteful number, since it uses less digits than its factorization.

1406770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 1406770400 is about 37506.9380248508. The cubic root of 1406770400 is about 1120.4893694785.

The spelling of 1406770400 in words is "one billion, four hundred six million, seven hundred seventy thousand, four hundred".