1406212080 has 480 divisors, whose sum is σ = 5626639872. Its totient is φ = 282839040.

The previous prime is 1406212051. The next prime is 1406212081. The reversal of 1406212080 is 802126041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1406212080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406212081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20988207 + ... + 20988273.

Almost surely, 2^1406212080 is an apocalyptic number.

1406212080 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 1406212080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813319936).

1406212080 is an abundant number, since it is smaller than the sum of its proper divisors (4220427792).

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

1406212080 is a wasteful number, since it uses less digits than its factorization.

1406212080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1406212080 is about 37499.4943965915. The cubic root of 1406212080 is about 1120.3411163344.

The spelling of 1406212080 in words is "one billion, four hundred six million, two hundred twelve thousand, eighty".