1408680020 has 48 divisors (see below), whose sum is σ = 3243639168. Its totient is φ = 509631360.

The previous prime is 1408680019. The next prime is 1408680023. The reversal of 1408680020 is 200868041.

It is a super-3 number, since 3×1408680020³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1408680023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27089 + ... + 59591.

It is an arithmetic number, because the mean of its divisors is an integer number (67575816).

Almost surely, 2^1408680020 is an apocalyptic number.

1408680020 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 1408680020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621819584).

1408680020 is an abundant number, since it is smaller than the sum of its proper divisors (1834959148).

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

1408680020 is a wasteful number, since it uses less digits than its factorization.

1408680020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32720 (or 32718 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 1408680020 is about 37532.3862817168. The cubic root of 1408680020 is about 1120.9961428788.

The spelling of 1408680020 in words is "one billion, four hundred eight million, six hundred eighty thousand, twenty".