1405669020 has 288 divisors, whose sum is σ = 4850270208. Its totient is φ = 297851904.

The previous prime is 1405669007. The next prime is 1405669049. The reversal of 1405669020 is 209665041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11068197 + ... + 11068323.

It is an arithmetic number, because the mean of its divisors is an integer number (16841216).

Almost surely, 2^1405669020 is an apocalyptic number.

1405669020 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 1405669020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425135104).

1405669020 is an abundant number, since it is smaller than the sum of its proper divisors (3444601188).

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

1405669020 is a wasteful number, since it uses less digits than its factorization.

1405669020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1405669020 is about 37492.2527997452. The cubic root of 1405669020 is about 1120.1968775925.

The spelling of 1405669020 in words is "one billion, four hundred five million, six hundred sixty-nine thousand, twenty".