1405283040 has 192 divisors, whose sum is σ = 5621253120. Its totient is φ = 321200640.

The previous prime is 1405283027. The next prime is 1405283057. The reversal of 1405283040 is 403825041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1405282995 and 1405283013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7005 + ... + 53475.

It is an arithmetic number, because the mean of its divisors is an integer number (29277360).

Almost surely, 2^1405283040 is an apocalyptic number.

1405283040 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 1405283040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810626560).

1405283040 is an abundant number, since it is smaller than the sum of its proper divisors (4215970080).

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

1405283040 is a wasteful number, since it uses less digits than its factorization.

1405283040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46502 (or 46488 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1405283040 is about 37487.1049829138. The cubic root of 1405283040 is about 1120.0943372919.

The spelling of 1405283040 in words is "one billion, four hundred five million, two hundred eighty-three thousand, forty".